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Finding the Fourth Proportional to 144.28, 198.84 and 107.38

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Solution

The fourth proportional to 144.28, 198.84 and 107.38 is: 147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 198.84 = 107.38 : x
  2. Step 2: Convert to fraction form
    144.28/198.84 = 107.38/x
  3. Step 3: Cross multiply
    144.28x = 198.84 × 107.38
  4. Step 4: Simplify right side
    144.28x = 21,351.44
  5. Step 5: Solve for x
    x = 21,351.44/144.28
  6. Step 6: Final answer
    x = 147.99

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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.