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Finding the Fourth Proportional to 178.61, 268.31 and 124.74

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Solution

The fourth proportional to 178.61, 268.31 and 124.74 is: 187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 268.31 = 124.74 : x
  2. Step 2: Convert to fraction form
    178.61/268.31 = 124.74/x
  3. Step 3: Cross multiply
    178.61x = 268.31 × 124.74
  4. Step 4: Simplify right side
    178.61x = 33,469.30
  5. Step 5: Solve for x
    x = 33,469.30/178.61
  6. Step 6: Final answer
    x = 187.39

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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.