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Finding the Fourth Proportional to 197.11, 271.81 and 150.49

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Solution

The fourth proportional to 197.11, 271.81 and 150.49 is: 207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.11 : 271.81 = 150.49 : x
  2. Step 2: Convert to fraction form
    197.11/271.81 = 150.49/x
  3. Step 3: Cross multiply
    197.11x = 271.81 × 150.49
  4. Step 4: Simplify right side
    197.11x = 40,903.93
  5. Step 5: Solve for x
    x = 40,903.93/197.11
  6. Step 6: Final answer
    x = 207.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.