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Finding the Fourth Proportional to 197.15, 273.89 and 195.37

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Solution

The fourth proportional to 197.15, 273.89 and 195.37 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.15 : 273.89 = 195.37 : x
  2. Step 2: Convert to fraction form
    197.15/273.89 = 195.37/x
  3. Step 3: Cross multiply
    197.15x = 273.89 × 195.37
  4. Step 4: Simplify right side
    197.15x = 53,509.89
  5. Step 5: Solve for x
    x = 53,509.89/197.15
  6. Step 6: Final answer
    x = 271.42

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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.