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Finding the Fourth Proportional to 166.10, 249.01 and 111.92

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Solution

The fourth proportional to 166.10, 249.01 and 111.92 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 249.01 = 111.92 : x
  2. Step 2: Convert to fraction form
    166.10/249.01 = 111.92/x
  3. Step 3: Cross multiply
    166.10x = 249.01 × 111.92
  4. Step 4: Simplify right side
    166.10x = 27,867.67
  5. Step 5: Solve for x
    x = 27,867.67/166.10
  6. Step 6: Final answer
    x = 167.78

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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.