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Finding the Fourth Proportional to 447.12, 616.80 and 281.28

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Solution

The fourth proportional to 447.12, 616.80 and 281.28 is: 388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 616.80 = 281.28 : x
  2. Step 2: Convert to fraction form
    447.12/616.80 = 281.28/x
  3. Step 3: Cross multiply
    447.12x = 616.80 × 281.28
  4. Step 4: Simplify right side
    447.12x = 173,493.50
  5. Step 5: Solve for x
    x = 173,493.50/447.12
  6. Step 6: Final answer
    x = 388.02

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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.