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Finding the Fourth Proportional to 201.39, 300.71 and 195.92

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Solution

The fourth proportional to 201.39, 300.71 and 195.92 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.39 : 300.71 = 195.92 : x
  2. Step 2: Convert to fraction form
    201.39/300.71 = 195.92/x
  3. Step 3: Cross multiply
    201.39x = 300.71 × 195.92
  4. Step 4: Simplify right side
    201.39x = 58,915.22
  5. Step 5: Solve for x
    x = 58,915.22/201.39
  6. Step 6: Final answer
    x = 292.55

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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.