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Finding the Fourth Proportional to 447.48, 617.40 and 281.61

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Solution

The fourth proportional to 447.48, 617.40 and 281.61 is: 388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 617.40 = 281.61 : x
  2. Step 2: Convert to fraction form
    447.48/617.40 = 281.61/x
  3. Step 3: Cross multiply
    447.48x = 617.40 × 281.61
  4. Step 4: Simplify right side
    447.48x = 173,866.01
  5. Step 5: Solve for x
    x = 173,866.01/447.48
  6. Step 6: Final answer
    x = 388.54

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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.