Mean proportion is a term used in mathematics to determine the average value between two numbers. In this case, we are given the numbers 4 and 16, and we need to find the mean proportion between them.

To find the mean proportion, we can use the formula:

Mean proportion = √(a * b)

Where 'a' and 'b' are the given numbers.

Let's calculate the mean proportion step by step:

Step 1: Find the product of the two numbers
a * b = 4 * 16 = 64

Step 2: Take the square root of the product
√(a * b) = √64 = 8

Therefore, the mean proportion of 4 and 16 is 8.

Explanation:

The mean proportion represents the geometric mean of two numbers. The geometric mean is the square root of the product of the two numbers. It is used in various mathematical calculations, including finding the average value between two numbers.

In this case, the given numbers are 4 and 16. By applying the formula for mean proportion, we first find the product of the two numbers, which is 64. Then, we take the square root of the product, which gives us 8.

Hence, the mean proportion of 4 and 16 is 8.