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Finding the Fourth Proportional to 327.18, 490.14 and 205.68

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Solution

The fourth proportional to 327.18, 490.14 and 205.68 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.18 : 490.14 = 205.68 : x
  2. Step 2: Convert to fraction form
    327.18/490.14 = 205.68/x
  3. Step 3: Cross multiply
    327.18x = 490.14 × 205.68
  4. Step 4: Simplify right side
    327.18x = 100,812.00
  5. Step 5: Solve for x
    x = 100,812.00/327.18
  6. Step 6: Final answer
    x = 308.12

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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.