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Finding the Fourth Proportional to 179.40, 269.17 and 81.86

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Solution

The fourth proportional to 179.40, 269.17 and 81.86 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 269.17 = 81.86 : x
  2. Step 2: Convert to fraction form
    179.40/269.17 = 81.86/x
  3. Step 3: Cross multiply
    179.40x = 269.17 × 81.86
  4. Step 4: Simplify right side
    179.40x = 22,034.26
  5. Step 5: Solve for x
    x = 22,034.26/179.40
  6. Step 6: Final answer
    x = 122.82

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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.