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Finding the Fourth Proportional to 402.50, 604.29 and 229.27

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Solution

The fourth proportional to 402.50, 604.29 and 229.27 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 604.29 = 229.27 : x
  2. Step 2: Convert to fraction form
    402.50/604.29 = 229.27/x
  3. Step 3: Cross multiply
    402.50x = 604.29 × 229.27
  4. Step 4: Simplify right side
    402.50x = 138,545.57
  5. Step 5: Solve for x
    x = 138,545.57/402.50
  6. Step 6: Final answer
    x = 344.21

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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.