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Finding the Fourth Proportional to 169.42, 232.34 and 168.62

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Solution

The fourth proportional to 169.42, 232.34 and 168.62 is: 231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 232.34 = 168.62 : x
  2. Step 2: Convert to fraction form
    169.42/232.34 = 168.62/x
  3. Step 3: Cross multiply
    169.42x = 232.34 × 168.62
  4. Step 4: Simplify right side
    169.42x = 39,177.17
  5. Step 5: Solve for x
    x = 39,177.17/169.42
  6. Step 6: Final answer
    x = 231.24

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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.