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Finding the Fourth Proportional to 363.78, 502.12 and 232.79

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Solution

The fourth proportional to 363.78, 502.12 and 232.79 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 502.12 = 232.79 : x
  2. Step 2: Convert to fraction form
    363.78/502.12 = 232.79/x
  3. Step 3: Cross multiply
    363.78x = 502.12 × 232.79
  4. Step 4: Simplify right side
    363.78x = 116,887.66
  5. Step 5: Solve for x
    x = 116,887.66/363.78
  6. Step 6: Final answer
    x = 321.32

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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.