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Finding the Fourth Proportional to 447.01, 616.84 and 250.49

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Solution

The fourth proportional to 447.01, 616.84 and 250.49 is: 345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.01 : 616.84 = 250.49 : x
  2. Step 2: Convert to fraction form
    447.01/616.84 = 250.49/x
  3. Step 3: Cross multiply
    447.01x = 616.84 × 250.49
  4. Step 4: Simplify right side
    447.01x = 154,512.25
  5. Step 5: Solve for x
    x = 154,512.25/447.01
  6. Step 6: Final answer
    x = 345.66

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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.