Explanation:

To find the fourth proportional to 5, 8, and 30, you solve for x in the proportion 5:8 = 30:x. Here's the calculation and options breakdown:

- Set up the proportions:

$$

\frac{5}{8} = \frac{30}{x}

$$

- Solve for x:

$$

5x = 8 \times 30 \\

5x = 240 \\

x = \frac{240}{5} \\

x = 48

$$

- Option 1: 50

Not correct, as the calculation shows 48.

- Option 2: 60

Not correct, as x equals 48.

- Option 3: 48

Correct Answer

- Option 4: 90

Not correct, based on calculation.

.