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Finding the Fourth Proportional to 269.78, 371.96 and 206.84

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Solution

The fourth proportional to 269.78, 371.96 and 206.84 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 371.96 = 206.84 : x
  2. Step 2: Convert to fraction form
    269.78/371.96 = 206.84/x
  3. Step 3: Cross multiply
    269.78x = 371.96 × 206.84
  4. Step 4: Simplify right side
    269.78x = 76,935.68
  5. Step 5: Solve for x
    x = 76,935.68/269.78
  6. Step 6: Final answer
    x = 285.17

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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.