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Finding the Fourth Proportional to 144.35, 197.94 and 142.53

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Solution

The fourth proportional to 144.35, 197.94 and 142.53 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.35 : 197.94 = 142.53 : x
  2. Step 2: Convert to fraction form
    144.35/197.94 = 142.53/x
  3. Step 3: Cross multiply
    144.35x = 197.94 × 142.53
  4. Step 4: Simplify right side
    144.35x = 28,211.85
  5. Step 5: Solve for x
    x = 28,211.85/144.35
  6. Step 6: Final answer
    x = 195.44

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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.