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Finding the Fourth Proportional to 327.89, 449.44 and 323.35

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Solution

The fourth proportional to 327.89, 449.44 and 323.35 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.89 : 449.44 = 323.35 : x
  2. Step 2: Convert to fraction form
    327.89/449.44 = 323.35/x
  3. Step 3: Cross multiply
    327.89x = 449.44 × 323.35
  4. Step 4: Simplify right side
    327.89x = 145,324.49
  5. Step 5: Solve for x
    x = 145,324.49/327.89
  6. Step 6: Final answer
    x = 443.21

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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.