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Finding the Fourth Proportional to 201.15, 302.31 and 190.44

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Solution

The fourth proportional to 201.15, 302.31 and 190.44 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.15 : 302.31 = 190.44 : x
  2. Step 2: Convert to fraction form
    201.15/302.31 = 190.44/x
  3. Step 3: Cross multiply
    201.15x = 302.31 × 190.44
  4. Step 4: Simplify right side
    201.15x = 57,571.92
  5. Step 5: Solve for x
    x = 57,571.92/201.15
  6. Step 6: Final answer
    x = 286.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.