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Finding the Fourth Proportional to 363.59, 502.29 and 285.24

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Solution

The fourth proportional to 363.59, 502.29 and 285.24 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.59 : 502.29 = 285.24 : x
  2. Step 2: Convert to fraction form
    363.59/502.29 = 285.24/x
  3. Step 3: Cross multiply
    363.59x = 502.29 × 285.24
  4. Step 4: Simplify right side
    363.59x = 143,273.20
  5. Step 5: Solve for x
    x = 143,273.20/363.59
  6. Step 6: Final answer
    x = 394.06

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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.