The fourth proportional to 2.5, 9.6 and 75 is:

Correct option is B

Given:

The numbers are 2.5, 9.6, and 75. We need to find the fourth proportional.

Formula Used:

The formula for the fourth proportional is:

​$$\frac{a}{b} = \frac{c}{d}$$​​

Where a, b, c, d  are in proportion.

Solution:

a = 2.5, b = 9.6, and c = 75

Using the formula:

d = $$\frac{9.6 \times 75}{2.5} = \frac{720}{2.5}$$​ = 288

Thus, the fourth proportional is 288.