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Finding the Fourth Proportional to 354.71, 531.71 and 135.28

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Solution

The fourth proportional to 354.71, 531.71 and 135.28 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 531.71 = 135.28 : x
  2. Step 2: Convert to fraction form
    354.71/531.71 = 135.28/x
  3. Step 3: Cross multiply
    354.71x = 531.71 × 135.28
  4. Step 4: Simplify right side
    354.71x = 71,929.73
  5. Step 5: Solve for x
    x = 71,929.73/354.71
  6. Step 6: Final answer
    x = 202.78

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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.