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Finding the Fourth Proportional to 331.46, 454.04 and 327.81

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Solution

The fourth proportional to 331.46, 454.04 and 327.81 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 454.04 = 327.81 : x
  2. Step 2: Convert to fraction form
    331.46/454.04 = 327.81/x
  3. Step 3: Cross multiply
    331.46x = 454.04 × 327.81
  4. Step 4: Simplify right side
    331.46x = 148,838.85
  5. Step 5: Solve for x
    x = 148,838.85/331.46
  6. Step 6: Final answer
    x = 449.04

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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.