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Finding the Fourth Proportional to 166.43, 249.62 and 44.70

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Solution

The fourth proportional to 166.43, 249.62 and 44.70 is: 67.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.43 : 249.62 = 44.70 : x
  2. Step 2: Convert to fraction form
    166.43/249.62 = 44.70/x
  3. Step 3: Cross multiply
    166.43x = 249.62 × 44.70
  4. Step 4: Simplify right side
    166.43x = 11,156.54
  5. Step 5: Solve for x
    x = 11,156.54/166.43
  6. Step 6: Final answer
    x = 67.04

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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.