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Finding the Fourth Proportional to 363.44, 503.68 and 356.96

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Solution

The fourth proportional to 363.44, 503.68 and 356.96 is: 494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.44 : 503.68 = 356.96 : x
  2. Step 2: Convert to fraction form
    363.44/503.68 = 356.96/x
  3. Step 3: Cross multiply
    363.44x = 503.68 × 356.96
  4. Step 4: Simplify right side
    363.44x = 179,793.61
  5. Step 5: Solve for x
    x = 179,793.61/363.44
  6. Step 6: Final answer
    x = 494.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.