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Finding the Fourth Proportional to 327.31, 490.99 and 83.84

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Solution

The fourth proportional to 327.31, 490.99 and 83.84 is: 125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.31 : 490.99 = 83.84 : x
  2. Step 2: Convert to fraction form
    327.31/490.99 = 83.84/x
  3. Step 3: Cross multiply
    327.31x = 490.99 × 83.84
  4. Step 4: Simplify right side
    327.31x = 41,162.15
  5. Step 5: Solve for x
    x = 41,162.15/327.31
  6. Step 6: Final answer
    x = 125.76

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