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Finding the Fourth Proportional to 447.74, 618.10 and 347.92

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Solution

The fourth proportional to 447.74, 618.10 and 347.92 is: 480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 618.10 = 347.92 : x
  2. Step 2: Convert to fraction form
    447.74/618.10 = 347.92/x
  3. Step 3: Cross multiply
    447.74x = 618.10 × 347.92
  4. Step 4: Simplify right side
    447.74x = 215,049.35
  5. Step 5: Solve for x
    x = 215,049.35/447.74
  6. Step 6: Final answer
    x = 480.30

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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.