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Finding the Fourth Proportional to 449.20, 672.85 and 232.12

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Solution

The fourth proportional to 449.20, 672.85 and 232.12 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.20 : 672.85 = 232.12 : x
  2. Step 2: Convert to fraction form
    449.20/672.85 = 232.12/x
  3. Step 3: Cross multiply
    449.20x = 672.85 × 232.12
  4. Step 4: Simplify right side
    449.20x = 156,181.94
  5. Step 5: Solve for x
    x = 156,181.94/449.20
  6. Step 6: Final answer
    x = 347.69

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Why These Related Problems?

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