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Finding the Fourth Proportional to 280.97, 422.22 and 144.11

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Solution

The fourth proportional to 280.97, 422.22 and 144.11 is: 216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 422.22 = 144.11 : x
  2. Step 2: Convert to fraction form
    280.97/422.22 = 144.11/x
  3. Step 3: Cross multiply
    280.97x = 422.22 × 144.11
  4. Step 4: Simplify right side
    280.97x = 60,846.12
  5. Step 5: Solve for x
    x = 60,846.12/280.97
  6. Step 6: Final answer
    x = 216.56

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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.