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Finding the Fourth Proportional to 146.28, 200.42 and 144.48

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Solution

The fourth proportional to 146.28, 200.42 and 144.48 is: 197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 200.42 = 144.48 : x
  2. Step 2: Convert to fraction form
    146.28/200.42 = 144.48/x
  3. Step 3: Cross multiply
    146.28x = 200.42 × 144.48
  4. Step 4: Simplify right side
    146.28x = 28,956.68
  5. Step 5: Solve for x
    x = 28,956.68/146.28
  6. Step 6: Final answer
    x = 197.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.