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Finding the Fourth Proportional to 199.41, 297.46 and 196.11

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Solution

The fourth proportional to 199.41, 297.46 and 196.11 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 297.46 = 196.11 : x
  2. Step 2: Convert to fraction form
    199.41/297.46 = 196.11/x
  3. Step 3: Cross multiply
    199.41x = 297.46 × 196.11
  4. Step 4: Simplify right side
    199.41x = 58,334.39
  5. Step 5: Solve for x
    x = 58,334.39/199.41
  6. Step 6: Final answer
    x = 292.53

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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.