Explanation:

To find the fourth proportional of 144, 192, and 216, you need to set up the proportion:

- (144 / 192) = (216 / x)

Solving for x:

- 144x = 192 * 216

- x = (192 * 216) / 144

- x = 288

Let's evaluate the options:

- Option 1: 361

- It's not the correct answer. 144 and 192 do not proportionally relate to 216 and 361.

- Option 2: 288

- Correct answer. Calculations confirm 288 is the fourth proportional.

- Option 3: 324

- By calculation, 324 does not fit the proportion.

- Option 4: 289

- Similarly, this does not satisfy the proportion.