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Finding the Fourth Proportional to 201.94, 300.82 and 195.89

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Solution

The fourth proportional to 201.94, 300.82 and 195.89 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 300.82 = 195.89 : x
  2. Step 2: Convert to fraction form
    201.94/300.82 = 195.89/x
  3. Step 3: Cross multiply
    201.94x = 300.82 × 195.89
  4. Step 4: Simplify right side
    201.94x = 58,927.63
  5. Step 5: Solve for x
    x = 58,927.63/201.94
  6. Step 6: Final answer
    x = 291.81

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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.