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Finding the Fourth Proportional to 327.20, 490.82 and 198.08

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Solution

The fourth proportional to 327.20, 490.82 and 198.08 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.20 : 490.82 = 198.08 : x
  2. Step 2: Convert to fraction form
    327.20/490.82 = 198.08/x
  3. Step 3: Cross multiply
    327.20x = 490.82 × 198.08
  4. Step 4: Simplify right side
    327.20x = 97,221.63
  5. Step 5: Solve for x
    x = 97,221.63/327.20
  6. Step 6: Final answer
    x = 297.13

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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.