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Finding the Fourth Proportional to 363.16, 500.94 and 338.86

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Solution

The fourth proportional to 363.16, 500.94 and 338.86 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 500.94 = 338.86 : x
  2. Step 2: Convert to fraction form
    363.16/500.94 = 338.86/x
  3. Step 3: Cross multiply
    363.16x = 500.94 × 338.86
  4. Step 4: Simplify right side
    363.16x = 169,747.28
  5. Step 5: Solve for x
    x = 169,747.28/363.16
  6. Step 6: Final answer
    x = 467.42

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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.