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Finding the Fourth Proportional to 197.67, 294.74 and 189.97

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Solution

The fourth proportional to 197.67, 294.74 and 189.97 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 294.74 = 189.97 : x
  2. Step 2: Convert to fraction form
    197.67/294.74 = 189.97/x
  3. Step 3: Cross multiply
    197.67x = 294.74 × 189.97
  4. Step 4: Simplify right side
    197.67x = 55,991.76
  5. Step 5: Solve for x
    x = 55,991.76/197.67
  6. Step 6: Final answer
    x = 283.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.