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Finding the Fourth Proportional to 144.43, 198.42 and 143.52

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Solution

The fourth proportional to 144.43, 198.42 and 143.52 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.43 : 198.42 = 143.52 : x
  2. Step 2: Convert to fraction form
    144.43/198.42 = 143.52/x
  3. Step 3: Cross multiply
    144.43x = 198.42 × 143.52
  4. Step 4: Simplify right side
    144.43x = 28,478.28
  5. Step 5: Solve for x
    x = 28,478.28/144.43
  6. Step 6: Final answer
    x = 197.17

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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.