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Finding the Fourth Proportional to 197.45, 296.18 and 110.73

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Solution

The fourth proportional to 197.45, 296.18 and 110.73 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.45 : 296.18 = 110.73 : x
  2. Step 2: Convert to fraction form
    197.45/296.18 = 110.73/x
  3. Step 3: Cross multiply
    197.45x = 296.18 × 110.73
  4. Step 4: Simplify right side
    197.45x = 32,796.98
  5. Step 5: Solve for x
    x = 32,796.98/197.45
  6. Step 6: Final answer
    x = 166.10

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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.