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Finding the Fourth Proportional to 269.56, 372.09 and 159.13

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Solution

The fourth proportional to 269.56, 372.09 and 159.13 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 372.09 = 159.13 : x
  2. Step 2: Convert to fraction form
    269.56/372.09 = 159.13/x
  3. Step 3: Cross multiply
    269.56x = 372.09 × 159.13
  4. Step 4: Simplify right side
    269.56x = 59,210.68
  5. Step 5: Solve for x
    x = 59,210.68/269.56
  6. Step 6: Final answer
    x = 219.66

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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.