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Finding the Fourth Proportional to 447.80, 617.78 and 281.92

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Solution

The fourth proportional to 447.80, 617.78 and 281.92 is: 388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.80 : 617.78 = 281.92 : x
  2. Step 2: Convert to fraction form
    447.80/617.78 = 281.92/x
  3. Step 3: Cross multiply
    447.80x = 617.78 × 281.92
  4. Step 4: Simplify right side
    447.80x = 174,164.54
  5. Step 5: Solve for x
    x = 174,164.54/447.80
  6. Step 6: Final answer
    x = 388.93

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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.