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Finding the Fourth Proportional to 197.80, 274.85 and 195.48

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Solution

The fourth proportional to 197.80, 274.85 and 195.48 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 274.85 = 195.48 : x
  2. Step 2: Convert to fraction form
    197.80/274.85 = 195.48/x
  3. Step 3: Cross multiply
    197.80x = 274.85 × 195.48
  4. Step 4: Simplify right side
    197.80x = 53,727.68
  5. Step 5: Solve for x
    x = 53,727.68/197.80
  6. Step 6: Final answer
    x = 271.63

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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.