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Finding the Fourth Proportional to 446.28, 615.78 and 280.56

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Solution

The fourth proportional to 446.28, 615.78 and 280.56 is: 387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 615.78 = 280.56 : x
  2. Step 2: Convert to fraction form
    446.28/615.78 = 280.56/x
  3. Step 3: Cross multiply
    446.28x = 615.78 × 280.56
  4. Step 4: Simplify right side
    446.28x = 172,763.24
  5. Step 5: Solve for x
    x = 172,763.24/446.28
  6. Step 6: Final answer
    x = 387.12

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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.