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Finding the Fourth Proportional to 327.73, 449.34 and 321.88

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Solution

The fourth proportional to 327.73, 449.34 and 321.88 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.73 : 449.34 = 321.88 : x
  2. Step 2: Convert to fraction form
    327.73/449.34 = 321.88/x
  3. Step 3: Cross multiply
    327.73x = 449.34 × 321.88
  4. Step 4: Simplify right side
    327.73x = 144,632.35
  5. Step 5: Solve for x
    x = 144,632.35/327.73
  6. Step 6: Final answer
    x = 441.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.