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Finding the Fourth Proportional to 196.67, 269.81 and 191.54

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Solution

The fourth proportional to 196.67, 269.81 and 191.54 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 269.81 = 191.54 : x
  2. Step 2: Convert to fraction form
    196.67/269.81 = 191.54/x
  3. Step 3: Cross multiply
    196.67x = 269.81 × 191.54
  4. Step 4: Simplify right side
    196.67x = 51,677.10
  5. Step 5: Solve for x
    x = 51,677.10/196.67
  6. Step 6: Final answer
    x = 262.77

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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.