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Finding the Fourth Proportional to 193.82, 269.08 and 187.88

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Solution

The fourth proportional to 193.82, 269.08 and 187.88 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 269.08 = 187.88 : x
  2. Step 2: Convert to fraction form
    193.82/269.08 = 187.88/x
  3. Step 3: Cross multiply
    193.82x = 269.08 × 187.88
  4. Step 4: Simplify right side
    193.82x = 50,553.81
  5. Step 5: Solve for x
    x = 50,553.81/193.82
  6. Step 6: Final answer
    x = 260.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.