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Finding the Fourth Proportional to 167.20, 231.24 and 149.68

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Solution

The fourth proportional to 167.20, 231.24 and 149.68 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 231.24 = 149.68 : x
  2. Step 2: Convert to fraction form
    167.20/231.24 = 149.68/x
  3. Step 3: Cross multiply
    167.20x = 231.24 × 149.68
  4. Step 4: Simplify right side
    167.20x = 34,612.85
  5. Step 5: Solve for x
    x = 34,612.85/167.20
  6. Step 6: Final answer
    x = 207.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.