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Finding the Fourth Proportional to 238.36, 329 and 227.36

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Solution

The fourth proportional to 238.36, 329 and 227.36 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.36 : 329 = 227.36 : x
  2. Step 2: Convert to fraction form
    238.36/329 = 227.36/x
  3. Step 3: Cross multiply
    238.36x = 329 × 227.36
  4. Step 4: Simplify right side
    238.36x = 74,801.44
  5. Step 5: Solve for x
    x = 74,801.44/238.36
  6. Step 6: Final answer
    x = 313.82

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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.