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Finding the Fourth Proportional to 197.72, 296.20 and 101.60

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Solution

The fourth proportional to 197.72, 296.20 and 101.60 is: 152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.20 = 101.60 : x
  2. Step 2: Convert to fraction form
    197.72/296.20 = 101.60/x
  3. Step 3: Cross multiply
    197.72x = 296.20 × 101.60
  4. Step 4: Simplify right side
    197.72x = 30,093.92
  5. Step 5: Solve for x
    x = 30,093.92/197.72
  6. Step 6: Final answer
    x = 152.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.