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Finding the Fourth Proportional to 169.92, 254.90 and 73.76

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Solution

The fourth proportional to 169.92, 254.90 and 73.76 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.92 : 254.90 = 73.76 : x
  2. Step 2: Convert to fraction form
    169.92/254.90 = 73.76/x
  3. Step 3: Cross multiply
    169.92x = 254.90 × 73.76
  4. Step 4: Simplify right side
    169.92x = 18,801.42
  5. Step 5: Solve for x
    x = 18,801.42/169.92
  6. Step 6: Final answer
    x = 110.65

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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.