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Finding the Fourth Proportional to 197.46, 296.10 and 136.44

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Solution

The fourth proportional to 197.46, 296.10 and 136.44 is: 204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 296.10 = 136.44 : x
  2. Step 2: Convert to fraction form
    197.46/296.10 = 136.44/x
  3. Step 3: Cross multiply
    197.46x = 296.10 × 136.44
  4. Step 4: Simplify right side
    197.46x = 40,399.88
  5. Step 5: Solve for x
    x = 40,399.88/197.46
  6. Step 6: Final answer
    x = 204.60

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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.