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Finding the Fourth Proportional to 449.52, 671.39 and 367.44

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Solution

The fourth proportional to 449.52, 671.39 and 367.44 is: 548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.52 : 671.39 = 367.44 : x
  2. Step 2: Convert to fraction form
    449.52/671.39 = 367.44/x
  3. Step 3: Cross multiply
    449.52x = 671.39 × 367.44
  4. Step 4: Simplify right side
    449.52x = 246,693.70
  5. Step 5: Solve for x
    x = 246,693.70/449.52
  6. Step 6: Final answer
    x = 548.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.