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Finding the Fourth Proportional to 269.11, 371.14 and 219.90

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Solution

The fourth proportional to 269.11, 371.14 and 219.90 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 371.14 = 219.90 : x
  2. Step 2: Convert to fraction form
    269.11/371.14 = 219.90/x
  3. Step 3: Cross multiply
    269.11x = 371.14 × 219.90
  4. Step 4: Simplify right side
    269.11x = 81,613.69
  5. Step 5: Solve for x
    x = 81,613.69/269.11
  6. Step 6: Final answer
    x = 303.27

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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.