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Finding the Fourth Proportional to 206.82, 308.03 and 205.61

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Solution

The fourth proportional to 206.82, 308.03 and 205.61 is: 306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 308.03 = 205.61 : x
  2. Step 2: Convert to fraction form
    206.82/308.03 = 205.61/x
  3. Step 3: Cross multiply
    206.82x = 308.03 × 205.61
  4. Step 4: Simplify right side
    206.82x = 63,331.48
  5. Step 5: Solve for x
    x = 63,331.48/206.82
  6. Step 6: Final answer
    x = 306.22

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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.