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Finding the Fourth Proportional to 144.40, 197.78 and 143.44

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Solution

The fourth proportional to 144.40, 197.78 and 143.44 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 197.78 = 143.44 : x
  2. Step 2: Convert to fraction form
    144.40/197.78 = 143.44/x
  3. Step 3: Cross multiply
    144.40x = 197.78 × 143.44
  4. Step 4: Simplify right side
    144.40x = 28,369.56
  5. Step 5: Solve for x
    x = 28,369.56/144.40
  6. Step 6: Final answer
    x = 196.47

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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.