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Finding the Fourth Proportional to 178.30, 267.55 and 137.80

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Solution

The fourth proportional to 178.30, 267.55 and 137.80 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 267.55 = 137.80 : x
  2. Step 2: Convert to fraction form
    178.30/267.55 = 137.80/x
  3. Step 3: Cross multiply
    178.30x = 267.55 × 137.80
  4. Step 4: Simplify right side
    178.30x = 36,869.16
  5. Step 5: Solve for x
    x = 36,869.16/178.30
  6. Step 6: Final answer
    x = 206.78

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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.