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Finding the Fourth Proportional to 363.68, 502.20 and 247.52

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Solution

The fourth proportional to 363.68, 502.20 and 247.52 is: 341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.68 : 502.20 = 247.52 : x
  2. Step 2: Convert to fraction form
    363.68/502.20 = 247.52/x
  3. Step 3: Cross multiply
    363.68x = 502.20 × 247.52
  4. Step 4: Simplify right side
    363.68x = 124,304.54
  5. Step 5: Solve for x
    x = 124,304.54/363.68
  6. Step 6: Final answer
    x = 341.80

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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.