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Finding the Fourth Proportional to 201.17, 300.22 and 196.63

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Solution

The fourth proportional to 201.17, 300.22 and 196.63 is: 293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.17 : 300.22 = 196.63 : x
  2. Step 2: Convert to fraction form
    201.17/300.22 = 196.63/x
  3. Step 3: Cross multiply
    201.17x = 300.22 × 196.63
  4. Step 4: Simplify right side
    201.17x = 59,031.02
  5. Step 5: Solve for x
    x = 59,031.02/201.17
  6. Step 6: Final answer
    x = 293.43

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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.