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Finding the Fourth Proportional to 199.66, 273.50 and 197.50

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Solution

The fourth proportional to 199.66, 273.50 and 197.50 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.66 : 273.50 = 197.50 : x
  2. Step 2: Convert to fraction form
    199.66/273.50 = 197.50/x
  3. Step 3: Cross multiply
    199.66x = 273.50 × 197.50
  4. Step 4: Simplify right side
    199.66x = 54,016.25
  5. Step 5: Solve for x
    x = 54,016.25/199.66
  6. Step 6: Final answer
    x = 270.54

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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.