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Finding the Fourth Proportional to 178.26, 267.31 and 82

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Solution

The fourth proportional to 178.26, 267.31 and 82 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 267.31 = 82 : x
  2. Step 2: Convert to fraction form
    178.26/267.31 = 82/x
  3. Step 3: Cross multiply
    178.26x = 267.31 × 82
  4. Step 4: Simplify right side
    178.26x = 21,919.42
  5. Step 5: Solve for x
    x = 21,919.42/178.26
  6. Step 6: Final answer
    x = 122.96

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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.