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Finding the Fourth Proportional to 196.72, 271.48 and 109.38

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Solution

The fourth proportional to 196.72, 271.48 and 109.38 is: 150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 271.48 = 109.38 : x
  2. Step 2: Convert to fraction form
    196.72/271.48 = 109.38/x
  3. Step 3: Cross multiply
    196.72x = 271.48 × 109.38
  4. Step 4: Simplify right side
    196.72x = 29,694.21
  5. Step 5: Solve for x
    x = 29,694.21/196.72
  6. Step 6: Final answer
    x = 150.95

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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.