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Finding the Fourth Proportional to 424.57, 637.04 and 229.71

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Solution

The fourth proportional to 424.57, 637.04 and 229.71 is: 344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.57 : 637.04 = 229.71 : x
  2. Step 2: Convert to fraction form
    424.57/637.04 = 229.71/x
  3. Step 3: Cross multiply
    424.57x = 637.04 × 229.71
  4. Step 4: Simplify right side
    424.57x = 146,331.24
  5. Step 5: Solve for x
    x = 146,331.24/424.57
  6. Step 6: Final answer
    x = 344.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.