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Finding the Fourth Proportional to 159.32, 220.06 and 122.92

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Solution

The fourth proportional to 159.32, 220.06 and 122.92 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.32 : 220.06 = 122.92 : x
  2. Step 2: Convert to fraction form
    159.32/220.06 = 122.92/x
  3. Step 3: Cross multiply
    159.32x = 220.06 × 122.92
  4. Step 4: Simplify right side
    159.32x = 27,049.78
  5. Step 5: Solve for x
    x = 27,049.78/159.32
  6. Step 6: Final answer
    x = 169.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.