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Finding the Fourth Proportional to 166.62, 251.38 and 166.17

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Solution

The fourth proportional to 166.62, 251.38 and 166.17 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 251.38 = 166.17 : x
  2. Step 2: Convert to fraction form
    166.62/251.38 = 166.17/x
  3. Step 3: Cross multiply
    166.62x = 251.38 × 166.17
  4. Step 4: Simplify right side
    166.62x = 41,769.73
  5. Step 5: Solve for x
    x = 41,769.73/166.62
  6. Step 6: Final answer
    x = 250.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.