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Finding the Fourth Proportional to 363.78, 501.98 and 216.41

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Solution

The fourth proportional to 363.78, 501.98 and 216.41 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 501.98 = 216.41 : x
  2. Step 2: Convert to fraction form
    363.78/501.98 = 216.41/x
  3. Step 3: Cross multiply
    363.78x = 501.98 × 216.41
  4. Step 4: Simplify right side
    363.78x = 108,629.90
  5. Step 5: Solve for x
    x = 108,629.90/363.78
  6. Step 6: Final answer
    x = 298.61

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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.