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Finding the Fourth Proportional to 178.87, 268.19 and 86.27

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Solution

The fourth proportional to 178.87, 268.19 and 86.27 is: 129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.87 : 268.19 = 86.27 : x
  2. Step 2: Convert to fraction form
    178.87/268.19 = 86.27/x
  3. Step 3: Cross multiply
    178.87x = 268.19 × 86.27
  4. Step 4: Simplify right side
    178.87x = 23,136.32
  5. Step 5: Solve for x
    x = 23,136.32/178.87
  6. Step 6: Final answer
    x = 129.35

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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.