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Finding the Fourth Proportional to 447.25, 616.89 and 388.12

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Solution

The fourth proportional to 447.25, 616.89 and 388.12 is: 535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.25 : 616.89 = 388.12 : x
  2. Step 2: Convert to fraction form
    447.25/616.89 = 388.12/x
  3. Step 3: Cross multiply
    447.25x = 616.89 × 388.12
  4. Step 4: Simplify right side
    447.25x = 239,427.35
  5. Step 5: Solve for x
    x = 239,427.35/447.25
  6. Step 6: Final answer
    x = 535.33

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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.