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Finding the Fourth Proportional to 447.95, 672.14 and 204.46

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Solution

The fourth proportional to 447.95, 672.14 and 204.46 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.95 : 672.14 = 204.46 : x
  2. Step 2: Convert to fraction form
    447.95/672.14 = 204.46/x
  3. Step 3: Cross multiply
    447.95x = 672.14 × 204.46
  4. Step 4: Simplify right side
    447.95x = 137,424.58
  5. Step 5: Solve for x
    x = 137,424.58/447.95
  6. Step 6: Final answer
    x = 306.78

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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.