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Finding the Fourth Proportional to 327.15, 490.38 and 153.96

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Solution

The fourth proportional to 327.15, 490.38 and 153.96 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.15 : 490.38 = 153.96 : x
  2. Step 2: Convert to fraction form
    327.15/490.38 = 153.96/x
  3. Step 3: Cross multiply
    327.15x = 490.38 × 153.96
  4. Step 4: Simplify right side
    327.15x = 75,498.90
  5. Step 5: Solve for x
    x = 75,498.90/327.15
  6. Step 6: Final answer
    x = 230.78

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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.