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Finding the Fourth Proportional to 197.44, 272.04 and 142

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Solution

The fourth proportional to 197.44, 272.04 and 142 is: 195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.04 = 142 : x
  2. Step 2: Convert to fraction form
    197.44/272.04 = 142/x
  3. Step 3: Cross multiply
    197.44x = 272.04 × 142
  4. Step 4: Simplify right side
    197.44x = 38,629.68
  5. Step 5: Solve for x
    x = 38,629.68/197.44
  6. Step 6: Final answer
    x = 195.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.