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Finding the Fourth Proportional to 168.32, 233.92 and 166.56

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Solution

The fourth proportional to 168.32, 233.92 and 166.56 is: 231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.32 : 233.92 = 166.56 : x
  2. Step 2: Convert to fraction form
    168.32/233.92 = 166.56/x
  3. Step 3: Cross multiply
    168.32x = 233.92 × 166.56
  4. Step 4: Simplify right side
    168.32x = 38,961.72
  5. Step 5: Solve for x
    x = 38,961.72/168.32
  6. Step 6: Final answer
    x = 231.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.