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Finding the Fourth Proportional to 446.80, 616.68 and 280.90

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Solution

The fourth proportional to 446.80, 616.68 and 280.90 is: 387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 616.68 = 280.90 : x
  2. Step 2: Convert to fraction form
    446.80/616.68 = 280.90/x
  3. Step 3: Cross multiply
    446.80x = 616.68 × 280.90
  4. Step 4: Simplify right side
    446.80x = 173,225.41
  5. Step 5: Solve for x
    x = 173,225.41/446.80
  6. Step 6: Final answer
    x = 387.70

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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.