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Finding the Fourth Proportional to 327.16, 449.07 and 289.49

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Solution

The fourth proportional to 327.16, 449.07 and 289.49 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 449.07 = 289.49 : x
  2. Step 2: Convert to fraction form
    327.16/449.07 = 289.49/x
  3. Step 3: Cross multiply
    327.16x = 449.07 × 289.49
  4. Step 4: Simplify right side
    327.16x = 129,999.83
  5. Step 5: Solve for x
    x = 129,999.83/327.16
  6. Step 6: Final answer
    x = 397.36

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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.