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Finding the Fourth Proportional to 331.20, 457.28 and 296.12

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Solution

The fourth proportional to 331.20, 457.28 and 296.12 is: 408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 457.28 = 296.12 : x
  2. Step 2: Convert to fraction form
    331.20/457.28 = 296.12/x
  3. Step 3: Cross multiply
    331.20x = 457.28 × 296.12
  4. Step 4: Simplify right side
    331.20x = 135,409.75
  5. Step 5: Solve for x
    x = 135,409.75/331.20
  6. Step 6: Final answer
    x = 408.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.