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Finding the Fourth Proportional to 199.22, 300.36 and 196.63

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Solution

The fourth proportional to 199.22, 300.36 and 196.63 is: 296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 300.36 = 196.63 : x
  2. Step 2: Convert to fraction form
    199.22/300.36 = 196.63/x
  3. Step 3: Cross multiply
    199.22x = 300.36 × 196.63
  4. Step 4: Simplify right side
    199.22x = 59,059.79
  5. Step 5: Solve for x
    x = 59,059.79/199.22
  6. Step 6: Final answer
    x = 296.46

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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.