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Finding the Fourth Proportional to 230.11, 344.71 and 201.25

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Solution

The fourth proportional to 230.11, 344.71 and 201.25 is: 301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.11 : 344.71 = 201.25 : x
  2. Step 2: Convert to fraction form
    230.11/344.71 = 201.25/x
  3. Step 3: Cross multiply
    230.11x = 344.71 × 201.25
  4. Step 4: Simplify right side
    230.11x = 69,372.44
  5. Step 5: Solve for x
    x = 69,372.44/230.11
  6. Step 6: Final answer
    x = 301.48

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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.