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Finding the Fourth Proportional to 197.28, 294.44 and 171.45

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Solution

The fourth proportional to 197.28, 294.44 and 171.45 is: 255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 294.44 = 171.45 : x
  2. Step 2: Convert to fraction form
    197.28/294.44 = 171.45/x
  3. Step 3: Cross multiply
    197.28x = 294.44 × 171.45
  4. Step 4: Simplify right side
    197.28x = 50,481.74
  5. Step 5: Solve for x
    x = 50,481.74/197.28
  6. Step 6: Final answer
    x = 255.89

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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.