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Finding the Fourth Proportional to 269.54, 402.74 and 206.66

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Solution

The fourth proportional to 269.54, 402.74 and 206.66 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 402.74 = 206.66 : x
  2. Step 2: Convert to fraction form
    269.54/402.74 = 206.66/x
  3. Step 3: Cross multiply
    269.54x = 402.74 × 206.66
  4. Step 4: Simplify right side
    269.54x = 83,228.75
  5. Step 5: Solve for x
    x = 83,228.75/269.54
  6. Step 6: Final answer
    x = 308.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.