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Finding the Fourth Proportional to 447.27, 616.84 and 272.31

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Solution

The fourth proportional to 447.27, 616.84 and 272.31 is: 375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 616.84 = 272.31 : x
  2. Step 2: Convert to fraction form
    447.27/616.84 = 272.31/x
  3. Step 3: Cross multiply
    447.27x = 616.84 × 272.31
  4. Step 4: Simplify right side
    447.27x = 167,971.70
  5. Step 5: Solve for x
    x = 167,971.70/447.27
  6. Step 6: Final answer
    x = 375.55

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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.