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Finding the Fourth Proportional to 169.33, 252.12 and 159.31

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Solution

The fourth proportional to 169.33, 252.12 and 159.31 is: 237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.33 : 252.12 = 159.31 : x
  2. Step 2: Convert to fraction form
    169.33/252.12 = 159.31/x
  3. Step 3: Cross multiply
    169.33x = 252.12 × 159.31
  4. Step 4: Simplify right side
    169.33x = 40,163.18
  5. Step 5: Solve for x
    x = 40,163.18/169.33
  6. Step 6: Final answer
    x = 237.20

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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.