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Finding the Fourth Proportional to 201.82, 303.97 and 192.10

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Solution

The fourth proportional to 201.82, 303.97 and 192.10 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 303.97 = 192.10 : x
  2. Step 2: Convert to fraction form
    201.82/303.97 = 192.10/x
  3. Step 3: Cross multiply
    201.82x = 303.97 × 192.10
  4. Step 4: Simplify right side
    201.82x = 58,391.88
  5. Step 5: Solve for x
    x = 58,391.88/201.82
  6. Step 6: Final answer
    x = 289.33

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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.