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Finding the Fourth Proportional to 169.74, 232.56 and 163.62

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Solution

The fourth proportional to 169.74, 232.56 and 163.62 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.74 : 232.56 = 163.62 : x
  2. Step 2: Convert to fraction form
    169.74/232.56 = 163.62/x
  3. Step 3: Cross multiply
    169.74x = 232.56 × 163.62
  4. Step 4: Simplify right side
    169.74x = 38,051.47
  5. Step 5: Solve for x
    x = 38,051.47/169.74
  6. Step 6: Final answer
    x = 224.18

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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.