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Finding the Fourth Proportional to 178.62, 267.43 and 91.76

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Solution

The fourth proportional to 178.62, 267.43 and 91.76 is: 137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 267.43 = 91.76 : x
  2. Step 2: Convert to fraction form
    178.62/267.43 = 91.76/x
  3. Step 3: Cross multiply
    178.62x = 267.43 × 91.76
  4. Step 4: Simplify right side
    178.62x = 24,539.65
  5. Step 5: Solve for x
    x = 24,539.65/178.62
  6. Step 6: Final answer
    x = 137.39

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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.