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Finding the Fourth Proportional to 363.98, 502.25 and 246.21

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Solution

The fourth proportional to 363.98, 502.25 and 246.21 is: 339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 502.25 = 246.21 : x
  2. Step 2: Convert to fraction form
    363.98/502.25 = 246.21/x
  3. Step 3: Cross multiply
    363.98x = 502.25 × 246.21
  4. Step 4: Simplify right side
    363.98x = 123,657.74
  5. Step 5: Solve for x
    x = 123,657.74/363.98
  6. Step 6: Final answer
    x = 339.74

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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.