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Finding the Fourth Proportional to 197.10, 294.24 and 169.38

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Solution

The fourth proportional to 197.10, 294.24 and 169.38 is: 252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 294.24 = 169.38 : x
  2. Step 2: Convert to fraction form
    197.10/294.24 = 169.38/x
  3. Step 3: Cross multiply
    197.10x = 294.24 × 169.38
  4. Step 4: Simplify right side
    197.10x = 49,838.37
  5. Step 5: Solve for x
    x = 49,838.37/197.10
  6. Step 6: Final answer
    x = 252.86

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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.