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Finding the Fourth Proportional to 327.12, 490.60 and 219.56

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Solution

The fourth proportional to 327.12, 490.60 and 219.56 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 490.60 = 219.56 : x
  2. Step 2: Convert to fraction form
    327.12/490.60 = 219.56/x
  3. Step 3: Cross multiply
    327.12x = 490.60 × 219.56
  4. Step 4: Simplify right side
    327.12x = 107,716.14
  5. Step 5: Solve for x
    x = 107,716.14/327.12
  6. Step 6: Final answer
    x = 329.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.