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Finding the Fourth Proportional to 167.13, 251.82 and 138.87

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Solution

The fourth proportional to 167.13, 251.82 and 138.87 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 251.82 = 138.87 : x
  2. Step 2: Convert to fraction form
    167.13/251.82 = 138.87/x
  3. Step 3: Cross multiply
    167.13x = 251.82 × 138.87
  4. Step 4: Simplify right side
    167.13x = 34,970.24
  5. Step 5: Solve for x
    x = 34,970.24/167.13
  6. Step 6: Final answer
    x = 209.24

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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.