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Finding the Fourth Proportional to 144.92, 200.84 and 142.19

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Solution

The fourth proportional to 144.92, 200.84 and 142.19 is: 197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.92 : 200.84 = 142.19 : x
  2. Step 2: Convert to fraction form
    144.92/200.84 = 142.19/x
  3. Step 3: Cross multiply
    144.92x = 200.84 × 142.19
  4. Step 4: Simplify right side
    144.92x = 28,557.44
  5. Step 5: Solve for x
    x = 28,557.44/144.92
  6. Step 6: Final answer
    x = 197.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.