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Finding the Fourth Proportional to 167.92, 251.70 and 90.88

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Solution

The fourth proportional to 167.92, 251.70 and 90.88 is: 136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 251.70 = 90.88 : x
  2. Step 2: Convert to fraction form
    167.92/251.70 = 90.88/x
  3. Step 3: Cross multiply
    167.92x = 251.70 × 90.88
  4. Step 4: Simplify right side
    167.92x = 22,874.50
  5. Step 5: Solve for x
    x = 22,874.50/167.92
  6. Step 6: Final answer
    x = 136.22

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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.