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Finding the Fourth Proportional to 330.48, 454.10 and 327.12

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Solution

The fourth proportional to 330.48, 454.10 and 327.12 is: 449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 454.10 = 327.12 : x
  2. Step 2: Convert to fraction form
    330.48/454.10 = 327.12/x
  3. Step 3: Cross multiply
    330.48x = 454.10 × 327.12
  4. Step 4: Simplify right side
    330.48x = 148,545.19
  5. Step 5: Solve for x
    x = 148,545.19/330.48
  6. Step 6: Final answer
    x = 449.48

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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.