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Finding the Fourth Proportional to 196.78, 273.43 and 194.50

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Solution

The fourth proportional to 196.78, 273.43 and 194.50 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 273.43 = 194.50 : x
  2. Step 2: Convert to fraction form
    196.78/273.43 = 194.50/x
  3. Step 3: Cross multiply
    196.78x = 273.43 × 194.50
  4. Step 4: Simplify right side
    196.78x = 53,182.14
  5. Step 5: Solve for x
    x = 53,182.14/196.78
  6. Step 6: Final answer
    x = 270.26

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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.