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Finding the Fourth Proportional to 363.93, 502.26 and 286.17

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Solution

The fourth proportional to 363.93, 502.26 and 286.17 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 502.26 = 286.17 : x
  2. Step 2: Convert to fraction form
    363.93/502.26 = 286.17/x
  3. Step 3: Cross multiply
    363.93x = 502.26 × 286.17
  4. Step 4: Simplify right side
    363.93x = 143,731.74
  5. Step 5: Solve for x
    x = 143,731.74/363.93
  6. Step 6: Final answer
    x = 394.94

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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.