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Finding the Fourth Proportional to 266.37, 399.30 and 201.44

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Solution

The fourth proportional to 266.37, 399.30 and 201.44 is: 301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.37 : 399.30 = 201.44 : x
  2. Step 2: Convert to fraction form
    266.37/399.30 = 201.44/x
  3. Step 3: Cross multiply
    266.37x = 399.30 × 201.44
  4. Step 4: Simplify right side
    266.37x = 80,435.94
  5. Step 5: Solve for x
    x = 80,435.94/266.37
  6. Step 6: Final answer
    x = 301.97

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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.