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Finding the Fourth Proportional to 196.83, 271.41 and 126.89

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Solution

The fourth proportional to 196.83, 271.41 and 126.89 is: 174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.41 = 126.89 : x
  2. Step 2: Convert to fraction form
    196.83/271.41 = 126.89/x
  3. Step 3: Cross multiply
    196.83x = 271.41 × 126.89
  4. Step 4: Simplify right side
    196.83x = 34,439.21
  5. Step 5: Solve for x
    x = 34,439.21/196.83
  6. Step 6: Final answer
    x = 174.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.