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Finding the Fourth Proportional to 410.97, 617.00 and 280.56

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Solution

The fourth proportional to 410.97, 617.00 and 280.56 is: 421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 617.00 = 280.56 : x
  2. Step 2: Convert to fraction form
    410.97/617.00 = 280.56/x
  3. Step 3: Cross multiply
    410.97x = 617.00 × 280.56
  4. Step 4: Simplify right side
    410.97x = 173,104.12
  5. Step 5: Solve for x
    x = 173,104.12/410.97
  6. Step 6: Final answer
    x = 421.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.