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Finding the Fourth Proportional to 167.92, 252.34 and 90.94

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Solution

The fourth proportional to 167.92, 252.34 and 90.94 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 252.34 = 90.94 : x
  2. Step 2: Convert to fraction form
    167.92/252.34 = 90.94/x
  3. Step 3: Cross multiply
    167.92x = 252.34 × 90.94
  4. Step 4: Simplify right side
    167.92x = 22,947.80
  5. Step 5: Solve for x
    x = 22,947.80/167.92
  6. Step 6: Final answer
    x = 136.66

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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.