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Finding the Fourth Proportional to 178.09, 267.02 and 81.85

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Solution

The fourth proportional to 178.09, 267.02 and 81.85 is: 122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 267.02 = 81.85 : x
  2. Step 2: Convert to fraction form
    178.09/267.02 = 81.85/x
  3. Step 3: Cross multiply
    178.09x = 267.02 × 81.85
  4. Step 4: Simplify right side
    178.09x = 21,855.18
  5. Step 5: Solve for x
    x = 21,855.18/178.09
  6. Step 6: Final answer
    x = 122.72

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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.