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Finding the Fourth Proportional to 197.50, 272.58 and 142.42

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Solution

The fourth proportional to 197.50, 272.58 and 142.42 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 272.58 = 142.42 : x
  2. Step 2: Convert to fraction form
    197.50/272.58 = 142.42/x
  3. Step 3: Cross multiply
    197.50x = 272.58 × 142.42
  4. Step 4: Simplify right side
    197.50x = 38,819.97
  5. Step 5: Solve for x
    x = 38,819.97/197.50
  6. Step 6: Final answer
    x = 196.56

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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.