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Finding the Fourth Proportional to 197.46, 271.38 and 185.22

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Solution

The fourth proportional to 197.46, 271.38 and 185.22 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 271.38 = 185.22 : x
  2. Step 2: Convert to fraction form
    197.46/271.38 = 185.22/x
  3. Step 3: Cross multiply
    197.46x = 271.38 × 185.22
  4. Step 4: Simplify right side
    197.46x = 50,265.00
  5. Step 5: Solve for x
    x = 50,265.00/197.46
  6. Step 6: Final answer
    x = 254.56

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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.