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Finding the Fourth Proportional to 197.36, 274.24 and 195.40

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Solution

The fourth proportional to 197.36, 274.24 and 195.40 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.36 : 274.24 = 195.40 : x
  2. Step 2: Convert to fraction form
    197.36/274.24 = 195.40/x
  3. Step 3: Cross multiply
    197.36x = 274.24 × 195.40
  4. Step 4: Simplify right side
    197.36x = 53,586.50
  5. Step 5: Solve for x
    x = 53,586.50/197.36
  6. Step 6: Final answer
    x = 271.52

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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.