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Finding the Fourth Proportional to 363.50, 502.95 and 316.97

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Solution

The fourth proportional to 363.50, 502.95 and 316.97 is: 438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 502.95 = 316.97 : x
  2. Step 2: Convert to fraction form
    363.50/502.95 = 316.97/x
  3. Step 3: Cross multiply
    363.50x = 502.95 × 316.97
  4. Step 4: Simplify right side
    363.50x = 159,418.48
  5. Step 5: Solve for x
    x = 159,418.48/363.50
  6. Step 6: Final answer
    x = 438.57

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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.