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Finding the Fourth Proportional to 144.73, 198.38 and 142.71

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Solution

The fourth proportional to 144.73, 198.38 and 142.71 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 198.38 = 142.71 : x
  2. Step 2: Convert to fraction form
    144.73/198.38 = 142.71/x
  3. Step 3: Cross multiply
    144.73x = 198.38 × 142.71
  4. Step 4: Simplify right side
    144.73x = 28,309.82
  5. Step 5: Solve for x
    x = 28,309.82/144.73
  6. Step 6: Final answer
    x = 195.60

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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.