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Finding the Fourth Proportional to 169.20, 231.78 and 168.72

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Solution

The fourth proportional to 169.20, 231.78 and 168.72 is: 231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 231.78 = 168.72 : x
  2. Step 2: Convert to fraction form
    169.20/231.78 = 168.72/x
  3. Step 3: Cross multiply
    169.20x = 231.78 × 168.72
  4. Step 4: Simplify right side
    169.20x = 39,105.92
  5. Step 5: Solve for x
    x = 39,105.92/169.20
  6. Step 6: Final answer
    x = 231.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.