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Finding the Fourth Proportional to 196.27, 270.86 and 107.76

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Solution

The fourth proportional to 196.27, 270.86 and 107.76 is: 148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 270.86 = 107.76 : x
  2. Step 2: Convert to fraction form
    196.27/270.86 = 107.76/x
  3. Step 3: Cross multiply
    196.27x = 270.86 × 107.76
  4. Step 4: Simplify right side
    196.27x = 29,187.20
  5. Step 5: Solve for x
    x = 29,187.20/196.27
  6. Step 6: Final answer
    x = 148.71

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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.