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Finding the Fourth Proportional to 167.10, 251.11 and 86

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Solution

The fourth proportional to 167.10, 251.11 and 86 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 251.11 = 86 : x
  2. Step 2: Convert to fraction form
    167.10/251.11 = 86/x
  3. Step 3: Cross multiply
    167.10x = 251.11 × 86
  4. Step 4: Simplify right side
    167.10x = 21,595.46
  5. Step 5: Solve for x
    x = 21,595.46/167.10
  6. Step 6: Final answer
    x = 129.24

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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.