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Finding the Fourth Proportional to 327.31, 487.65 and 311.83

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Solution

The fourth proportional to 327.31, 487.65 and 311.83 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.31 : 487.65 = 311.83 : x
  2. Step 2: Convert to fraction form
    327.31/487.65 = 311.83/x
  3. Step 3: Cross multiply
    327.31x = 487.65 × 311.83
  4. Step 4: Simplify right side
    327.31x = 152,063.90
  5. Step 5: Solve for x
    x = 152,063.90/327.31
  6. Step 6: Final answer
    x = 464.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.