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Finding the Fourth Proportional to 447.74, 618.15 and 292.76

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Solution

The fourth proportional to 447.74, 618.15 and 292.76 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 618.15 = 292.76 : x
  2. Step 2: Convert to fraction form
    447.74/618.15 = 292.76/x
  3. Step 3: Cross multiply
    447.74x = 618.15 × 292.76
  4. Step 4: Simplify right side
    447.74x = 180,965.04
  5. Step 5: Solve for x
    x = 180,965.04/447.74
  6. Step 6: Final answer
    x = 404.18

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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.