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Finding the Fourth Proportional to 197.27, 270.78 and 179.67

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Solution

The fourth proportional to 197.27, 270.78 and 179.67 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.27 : 270.78 = 179.67 : x
  2. Step 2: Convert to fraction form
    197.27/270.78 = 179.67/x
  3. Step 3: Cross multiply
    197.27x = 270.78 × 179.67
  4. Step 4: Simplify right side
    197.27x = 48,652.47
  5. Step 5: Solve for x
    x = 48,652.47/197.27
  6. Step 6: Final answer
    x = 246.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.