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Finding the Fourth Proportional to 363.46, 500.03 and 321.24

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Solution

The fourth proportional to 363.46, 500.03 and 321.24 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.46 : 500.03 = 321.24 : x
  2. Step 2: Convert to fraction form
    363.46/500.03 = 321.24/x
  3. Step 3: Cross multiply
    363.46x = 500.03 × 321.24
  4. Step 4: Simplify right side
    363.46x = 160,625.53
  5. Step 5: Solve for x
    x = 160,625.53/363.46
  6. Step 6: Final answer
    x = 441.93

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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.