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Finding the Fourth Proportional to 197.94, 298.68 and 190.44

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Solution

The fourth proportional to 197.94, 298.68 and 190.44 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 298.68 = 190.44 : x
  2. Step 2: Convert to fraction form
    197.94/298.68 = 190.44/x
  3. Step 3: Cross multiply
    197.94x = 298.68 × 190.44
  4. Step 4: Simplify right side
    197.94x = 56,880.62
  5. Step 5: Solve for x
    x = 56,880.62/197.94
  6. Step 6: Final answer
    x = 287.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.