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Finding the Fourth Proportional to 178.20, 266.82 and 129.31

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Solution

The fourth proportional to 178.20, 266.82 and 129.31 is: 193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 266.82 = 129.31 : x
  2. Step 2: Convert to fraction form
    178.20/266.82 = 129.31/x
  3. Step 3: Cross multiply
    178.20x = 266.82 × 129.31
  4. Step 4: Simplify right side
    178.20x = 34,502.49
  5. Step 5: Solve for x
    x = 34,502.49/178.20
  6. Step 6: Final answer
    x = 193.62

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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.