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Finding the Fourth Proportional to 166.28, 249.20 and 74.88

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Solution

The fourth proportional to 166.28, 249.20 and 74.88 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 249.20 = 74.88 : x
  2. Step 2: Convert to fraction form
    166.28/249.20 = 74.88/x
  3. Step 3: Cross multiply
    166.28x = 249.20 × 74.88
  4. Step 4: Simplify right side
    166.28x = 18,660.10
  5. Step 5: Solve for x
    x = 18,660.10/166.28
  6. Step 6: Final answer
    x = 112.22

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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.