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Finding the Fourth Proportional to 240.92, 363.16 and 206.96

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Solution

The fourth proportional to 240.92, 363.16 and 206.96 is: 311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.92 : 363.16 = 206.96 : x
  2. Step 2: Convert to fraction form
    240.92/363.16 = 206.96/x
  3. Step 3: Cross multiply
    240.92x = 363.16 × 206.96
  4. Step 4: Simplify right side
    240.92x = 75,159.59
  5. Step 5: Solve for x
    x = 75,159.59/240.92
  6. Step 6: Final answer
    x = 311.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.