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Finding the Fourth Proportional to 446.85, 616.82 and 281.10

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Solution

The fourth proportional to 446.85, 616.82 and 281.10 is: 388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.85 : 616.82 = 281.10 : x
  2. Step 2: Convert to fraction form
    446.85/616.82 = 281.10/x
  3. Step 3: Cross multiply
    446.85x = 616.82 × 281.10
  4. Step 4: Simplify right side
    446.85x = 173,388.10
  5. Step 5: Solve for x
    x = 173,388.10/446.85
  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.