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Finding the Fourth Proportional to 402.87, 604.17 and 142.80

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Solution

The fourth proportional to 402.87, 604.17 and 142.80 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.87 : 604.17 = 142.80 : x
  2. Step 2: Convert to fraction form
    402.87/604.17 = 142.80/x
  3. Step 3: Cross multiply
    402.87x = 604.17 × 142.80
  4. Step 4: Simplify right side
    402.87x = 86,275.48
  5. Step 5: Solve for x
    x = 86,275.48/402.87
  6. Step 6: Final answer
    x = 214.15

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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.