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Finding the Fourth Proportional to 167.96, 251.48 and 138.80

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Solution

The fourth proportional to 167.96, 251.48 and 138.80 is: 207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 251.48 = 138.80 : x
  2. Step 2: Convert to fraction form
    167.96/251.48 = 138.80/x
  3. Step 3: Cross multiply
    167.96x = 251.48 × 138.80
  4. Step 4: Simplify right side
    167.96x = 34,905.42
  5. Step 5: Solve for x
    x = 34,905.42/167.96
  6. Step 6: Final answer
    x = 207.82

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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.