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Finding the Fourth Proportional to 199.58, 273.60 and 196.39

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Solution

The fourth proportional to 199.58, 273.60 and 196.39 is: 269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.58 : 273.60 = 196.39 : x
  2. Step 2: Convert to fraction form
    199.58/273.60 = 196.39/x
  3. Step 3: Cross multiply
    199.58x = 273.60 × 196.39
  4. Step 4: Simplify right side
    199.58x = 53,732.65
  5. Step 5: Solve for x
    x = 53,732.65/199.58
  6. Step 6: Final answer
    x = 269.23

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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.