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Finding the Fourth Proportional to 178.56, 267.96 and 81.18

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Solution

The fourth proportional to 178.56, 267.96 and 81.18 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 267.96 = 81.18 : x
  2. Step 2: Convert to fraction form
    178.56/267.96 = 81.18/x
  3. Step 3: Cross multiply
    178.56x = 267.96 × 81.18
  4. Step 4: Simplify right side
    178.56x = 21,752.99
  5. Step 5: Solve for x
    x = 21,752.99/178.56
  6. Step 6: Final answer
    x = 121.82

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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.