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Finding the Fourth Proportional to 178.59, 267.82 and 75.82

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Solution

The fourth proportional to 178.59, 267.82 and 75.82 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 267.82 = 75.82 : x
  2. Step 2: Convert to fraction form
    178.59/267.82 = 75.82/x
  3. Step 3: Cross multiply
    178.59x = 267.82 × 75.82
  4. Step 4: Simplify right side
    178.59x = 20,306.11
  5. Step 5: Solve for x
    x = 20,306.11/178.59
  6. Step 6: Final answer
    x = 113.70

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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.