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Finding the Fourth Proportional to 166.66, 249.70 and 108.85

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Solution

The fourth proportional to 166.66, 249.70 and 108.85 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 249.70 = 108.85 : x
  2. Step 2: Convert to fraction form
    166.66/249.70 = 108.85/x
  3. Step 3: Cross multiply
    166.66x = 249.70 × 108.85
  4. Step 4: Simplify right side
    166.66x = 27,179.85
  5. Step 5: Solve for x
    x = 27,179.85/166.66
  6. Step 6: Final answer
    x = 163.09

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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.