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Finding the Fourth Proportional to 363.82, 502.25 and 285.00

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Solution

The fourth proportional to 363.82, 502.25 and 285.00 is: 393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 502.25 = 285.00 : x
  2. Step 2: Convert to fraction form
    363.82/502.25 = 285.00/x
  3. Step 3: Cross multiply
    363.82x = 502.25 × 285.00
  4. Step 4: Simplify right side
    363.82x = 143,138.57
  5. Step 5: Solve for x
    x = 143,138.57/363.82
  6. Step 6: Final answer
    x = 393.43

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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.