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Finding the Fourth Proportional to 242.43, 361.52 and 240.23

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Solution

The fourth proportional to 242.43, 361.52 and 240.23 is: 358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.43 : 361.52 = 240.23 : x
  2. Step 2: Convert to fraction form
    242.43/361.52 = 240.23/x
  3. Step 3: Cross multiply
    242.43x = 361.52 × 240.23
  4. Step 4: Simplify right side
    242.43x = 86,847.65
  5. Step 5: Solve for x
    x = 86,847.65/242.43
  6. Step 6: Final answer
    x = 358.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.