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Finding the Fourth Proportional to 446.97, 616.96 and 281.33

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Solution

The fourth proportional to 446.97, 616.96 and 281.33 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 616.96 = 281.33 : x
  2. Step 2: Convert to fraction form
    446.97/616.96 = 281.33/x
  3. Step 3: Cross multiply
    446.97x = 616.96 × 281.33
  4. Step 4: Simplify right side
    446.97x = 173,566.27
  5. Step 5: Solve for x
    x = 173,566.27/446.97
  6. Step 6: Final answer
    x = 388.32

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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.