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Finding the Fourth Proportional to 363.92, 502.14 and 208.64

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Solution

The fourth proportional to 363.92, 502.14 and 208.64 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 502.14 = 208.64 : x
  2. Step 2: Convert to fraction form
    363.92/502.14 = 208.64/x
  3. Step 3: Cross multiply
    363.92x = 502.14 × 208.64
  4. Step 4: Simplify right side
    363.92x = 104,766.49
  5. Step 5: Solve for x
    x = 104,766.49/363.92
  6. Step 6: Final answer
    x = 287.88

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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.