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Finding the Fourth Proportional to 449.21, 672.92 and 286.31

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Solution

The fourth proportional to 449.21, 672.92 and 286.31 is: 428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.21 : 672.92 = 286.31 : x
  2. Step 2: Convert to fraction form
    449.21/672.92 = 286.31/x
  3. Step 3: Cross multiply
    449.21x = 672.92 × 286.31
  4. Step 4: Simplify right side
    449.21x = 192,663.73
  5. Step 5: Solve for x
    x = 192,663.73/449.21
  6. Step 6: Final answer
    x = 428.89

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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.