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Finding the Fourth Proportional to 961.20, 1,441.68 and 311.88

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Solution

The fourth proportional to 961.20, 1,441.68 and 311.88 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,441.68 = 311.88 : x
  2. Step 2: Convert to fraction form
    961.20/1,441.68 = 311.88/x
  3. Step 3: Cross multiply
    961.20x = 1,441.68 × 311.88
  4. Step 4: Simplify right side
    961.20x = 449,631.16
  5. Step 5: Solve for x
    x = 449,631.16/961.20
  6. Step 6: Final answer
    x = 467.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.