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Finding the Fourth Proportional to 447.36, 616.89 and 353.80

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Solution

The fourth proportional to 447.36, 616.89 and 353.80 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 616.89 = 353.80 : x
  2. Step 2: Convert to fraction form
    447.36/616.89 = 353.80/x
  3. Step 3: Cross multiply
    447.36x = 616.89 × 353.80
  4. Step 4: Simplify right side
    447.36x = 218,255.68
  5. Step 5: Solve for x
    x = 218,255.68/447.36
  6. Step 6: Final answer
    x = 487.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.