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Finding the Fourth Proportional to 269.10, 371.28 and 206.82

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Solution

The fourth proportional to 269.10, 371.28 and 206.82 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 371.28 = 206.82 : x
  2. Step 2: Convert to fraction form
    269.10/371.28 = 206.82/x
  3. Step 3: Cross multiply
    269.10x = 371.28 × 206.82
  4. Step 4: Simplify right side
    269.10x = 76,786.03
  5. Step 5: Solve for x
    x = 76,786.03/269.10
  6. Step 6: Final answer
    x = 285.35

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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.