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Finding the Fourth Proportional to 449.54, 673.98 and 141.22

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Solution

The fourth proportional to 449.54, 673.98 and 141.22 is: 211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 673.98 = 141.22 : x
  2. Step 2: Convert to fraction form
    449.54/673.98 = 141.22/x
  3. Step 3: Cross multiply
    449.54x = 673.98 × 141.22
  4. Step 4: Simplify right side
    449.54x = 95,179.46
  5. Step 5: Solve for x
    x = 95,179.46/449.54
  6. Step 6: Final answer
    x = 211.73

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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.