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Finding the Fourth Proportional to 251.20, 375.41 and 201.91

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Solution

The fourth proportional to 251.20, 375.41 and 201.91 is: 301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.20 : 375.41 = 201.91 : x
  2. Step 2: Convert to fraction form
    251.20/375.41 = 201.91/x
  3. Step 3: Cross multiply
    251.20x = 375.41 × 201.91
  4. Step 4: Simplify right side
    251.20x = 75,798.74
  5. Step 5: Solve for x
    x = 75,798.74/251.20
  6. Step 6: Final answer
    x = 301.75

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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.