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Finding the Fourth Proportional to 238.36, 330.90 and 231.68

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Solution

The fourth proportional to 238.36, 330.90 and 231.68 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.36 : 330.90 = 231.68 : x
  2. Step 2: Convert to fraction form
    238.36/330.90 = 231.68/x
  3. Step 3: Cross multiply
    238.36x = 330.90 × 231.68
  4. Step 4: Simplify right side
    238.36x = 76,662.91
  5. Step 5: Solve for x
    x = 76,662.91/238.36
  6. Step 6: Final answer
    x = 321.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.