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Finding the Fourth Proportional to 169.25, 252.20 and 163.73

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Solution

The fourth proportional to 169.25, 252.20 and 163.73 is: 243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.25 : 252.20 = 163.73 : x
  2. Step 2: Convert to fraction form
    169.25/252.20 = 163.73/x
  3. Step 3: Cross multiply
    169.25x = 252.20 × 163.73
  4. Step 4: Simplify right side
    169.25x = 41,293.75
  5. Step 5: Solve for x
    x = 41,293.75/169.25
  6. Step 6: Final answer
    x = 243.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.