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Finding the Fourth Proportional to 167.12, 250.38 and 85.76

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Solution

The fourth proportional to 167.12, 250.38 and 85.76 is: 128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 250.38 = 85.76 : x
  2. Step 2: Convert to fraction form
    167.12/250.38 = 85.76/x
  3. Step 3: Cross multiply
    167.12x = 250.38 × 85.76
  4. Step 4: Simplify right side
    167.12x = 21,472.59
  5. Step 5: Solve for x
    x = 21,472.59/167.12
  6. Step 6: Final answer
    x = 128.49

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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.