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Finding the Fourth Proportional to 363.95, 502.20 and 216.50

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Solution

The fourth proportional to 363.95, 502.20 and 216.50 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 502.20 = 216.50 : x
  2. Step 2: Convert to fraction form
    363.95/502.20 = 216.50/x
  3. Step 3: Cross multiply
    363.95x = 502.20 × 216.50
  4. Step 4: Simplify right side
    363.95x = 108,723.79
  5. Step 5: Solve for x
    x = 108,723.79/363.95
  6. Step 6: Final answer
    x = 298.74

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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.