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Finding the Fourth Proportional to 197.27, 272.25 and 114.37

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Solution

The fourth proportional to 197.27, 272.25 and 114.37 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.27 : 272.25 = 114.37 : x
  2. Step 2: Convert to fraction form
    197.27/272.25 = 114.37/x
  3. Step 3: Cross multiply
    197.27x = 272.25 × 114.37
  4. Step 4: Simplify right side
    197.27x = 31,135.30
  5. Step 5: Solve for x
    x = 31,135.30/197.27
  6. Step 6: Final answer
    x = 157.83

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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.