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Finding the Fourth Proportional to 242.57, 361.25 and 232.04

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Solution

The fourth proportional to 242.57, 361.25 and 232.04 is: 345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 361.25 = 232.04 : x
  2. Step 2: Convert to fraction form
    242.57/361.25 = 232.04/x
  3. Step 3: Cross multiply
    242.57x = 361.25 × 232.04
  4. Step 4: Simplify right side
    242.57x = 83,825.06
  5. Step 5: Solve for x
    x = 83,825.06/242.57
  6. Step 6: Final answer
    x = 345.57

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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.