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Finding the Fourth Proportional to 201.82, 301.37 and 191.29

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Solution

The fourth proportional to 201.82, 301.37 and 191.29 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 301.37 = 191.29 : x
  2. Step 2: Convert to fraction form
    201.82/301.37 = 191.29/x
  3. Step 3: Cross multiply
    201.82x = 301.37 × 191.29
  4. Step 4: Simplify right side
    201.82x = 57,649.07
  5. Step 5: Solve for x
    x = 57,649.07/201.82
  6. Step 6: Final answer
    x = 285.65

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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.