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Finding the Fourth Proportional to 269.28, 371.96 and 220.76

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Solution

The fourth proportional to 269.28, 371.96 and 220.76 is: 304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.28 : 371.96 = 220.76 : x
  2. Step 2: Convert to fraction form
    269.28/371.96 = 220.76/x
  3. Step 3: Cross multiply
    269.28x = 371.96 × 220.76
  4. Step 4: Simplify right side
    269.28x = 82,113.89
  5. Step 5: Solve for x
    x = 82,113.89/269.28
  6. Step 6: Final answer
    x = 304.94

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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.