In the proportion 27:15 = x:360, which value does x equal?

In the proportion 27:15 = x:360, which value does x equal?

• A. 450
• B. 650
• C. 648
• D. 720

Answer: (C)

To find the value of x in the proportion 27:15 = x:360, we can use the concept of cross-multiplication. This method allows us to set up an equation based on the equality of the two ratios. First, we can express the proportion mathematically: 27/15 = x/360. Applying cross-multiplication gives us: 27 * 360 = 15 * x. Now, we calculate the left side: 27 * 360 = 9720. Next, we proceed to solve for x: 9720 = 15 * x. To isolate x, we divide both sides by 15: x = 9720 / 15. Calculating that gives: x = 648. Thus, the correct value of x that maintains the ratio is 648. Understanding this concept of direct proportion and how to manipulate ratios using cross-multiplication is essential for solving similar problems in power engineering and other fields that require quantitative analysis.

To find the value of x in the proportion 27:15 = x:360, we can use the concept of cross-multiplication. This method allows us to set up an equation based on the equality of the two ratios.

First, we can express the proportion mathematically:

27/15 = x/360.

Applying cross-multiplication gives us:

27 * 360 = 15 * x.

Now, we calculate the left side:

27 * 360 = 9720.

Next, we proceed to solve for x:

9720 = 15 * x.

To isolate x, we divide both sides by 15:

x = 9720 / 15.

Calculating that gives:

x = 648.

Thus, the correct value of x that maintains the ratio is 648. Understanding this concept of direct proportion and how to manipulate ratios using cross-multiplication is essential for solving similar problems in power engineering and other fields that require quantitative analysis.