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Finding the Fourth Proportional to 446.27, 616.07 and 280.57

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Solution

The fourth proportional to 446.27, 616.07 and 280.57 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.27 : 616.07 = 280.57 : x
  2. Step 2: Convert to fraction form
    446.27/616.07 = 280.57/x
  3. Step 3: Cross multiply
    446.27x = 616.07 × 280.57
  4. Step 4: Simplify right side
    446.27x = 172,850.76
  5. Step 5: Solve for x
    x = 172,850.76/446.27
  6. Step 6: Final answer
    x = 387.32

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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.