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Finding the Fourth Proportional to 238.88, 330.26 and 201.96

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Solution

The fourth proportional to 238.88, 330.26 and 201.96 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 330.26 = 201.96 : x
  2. Step 2: Convert to fraction form
    238.88/330.26 = 201.96/x
  3. Step 3: Cross multiply
    238.88x = 330.26 × 201.96
  4. Step 4: Simplify right side
    238.88x = 66,698.30
  5. Step 5: Solve for x
    x = 66,698.30/238.88
  6. Step 6: Final answer
    x = 279.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.