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Finding the Fourth Proportional to 220.92, 332.70 and 167.19

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Solution

The fourth proportional to 220.92, 332.70 and 167.19 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 332.70 = 167.19 : x
  2. Step 2: Convert to fraction form
    220.92/332.70 = 167.19/x
  3. Step 3: Cross multiply
    220.92x = 332.70 × 167.19
  4. Step 4: Simplify right side
    220.92x = 55,624.11
  5. Step 5: Solve for x
    x = 55,624.11/220.92
  6. Step 6: Final answer
    x = 251.78

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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.