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Finding the Fourth Proportional to 169.32, 232.14 and 166.24

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Solution

The fourth proportional to 169.32, 232.14 and 166.24 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 232.14 = 166.24 : x
  2. Step 2: Convert to fraction form
    169.32/232.14 = 166.24/x
  3. Step 3: Cross multiply
    169.32x = 232.14 × 166.24
  4. Step 4: Simplify right side
    169.32x = 38,590.95
  5. Step 5: Solve for x
    x = 38,590.95/169.32
  6. Step 6: Final answer
    x = 227.92

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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.