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Finding the Fourth Proportional to 201.42, 300.39 and 196.77

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Solution

The fourth proportional to 201.42, 300.39 and 196.77 is: 293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 300.39 = 196.77 : x
  2. Step 2: Convert to fraction form
    201.42/300.39 = 196.77/x
  3. Step 3: Cross multiply
    201.42x = 300.39 × 196.77
  4. Step 4: Simplify right side
    201.42x = 59,107.74
  5. Step 5: Solve for x
    x = 59,107.74/201.42
  6. Step 6: Final answer
    x = 293.46

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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.