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Finding the Fourth Proportional to 242.97, 334.92 and 224.73

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Solution

The fourth proportional to 242.97, 334.92 and 224.73 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 334.92 = 224.73 : x
  2. Step 2: Convert to fraction form
    242.97/334.92 = 224.73/x
  3. Step 3: Cross multiply
    242.97x = 334.92 × 224.73
  4. Step 4: Simplify right side
    242.97x = 75,266.57
  5. Step 5: Solve for x
    x = 75,266.57/242.97
  6. Step 6: Final answer
    x = 309.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.