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Finding the Fourth Proportional to 179.87, 269.87 and 82.42

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Solution

The fourth proportional to 179.87, 269.87 and 82.42 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.87 : 269.87 = 82.42 : x
  2. Step 2: Convert to fraction form
    179.87/269.87 = 82.42/x
  3. Step 3: Cross multiply
    179.87x = 269.87 × 82.42
  4. Step 4: Simplify right side
    179.87x = 22,241.95
  5. Step 5: Solve for x
    x = 22,241.95/179.87
  6. Step 6: Final answer
    x = 123.66

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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.