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Finding the Fourth Proportional to 446.64, 616.19 and 280.85

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Solution

The fourth proportional to 446.64, 616.19 and 280.85 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 616.19 = 280.85 : x
  2. Step 2: Convert to fraction form
    446.64/616.19 = 280.85/x
  3. Step 3: Cross multiply
    446.64x = 616.19 × 280.85
  4. Step 4: Simplify right side
    446.64x = 173,052.48
  5. Step 5: Solve for x
    x = 173,052.48/446.64
  6. Step 6: Final answer
    x = 387.45

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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.