If 260 is the mean proportion between x and 338, what is the value of x?

Correct option is A

Given:

260 is the mean proportion between x and 338.

Concept Used:

The mean proportion between two numbers aa and bb is given by the square root of their product

Solution:

​$$260 = \sqrt{x \times 338}$$​​

​$$260^2 = x \times 338$$​​

​$$67600 = x \times 338$$​​

​$$x = \frac{67600}{338} = 200$$​​