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Finding the Fourth Proportional to 238.17, 326.92 and 211.36

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Solution

The fourth proportional to 238.17, 326.92 and 211.36 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.17 : 326.92 = 211.36 : x
  2. Step 2: Convert to fraction form
    238.17/326.92 = 211.36/x
  3. Step 3: Cross multiply
    238.17x = 326.92 × 211.36
  4. Step 4: Simplify right side
    238.17x = 69,097.52
  5. Step 5: Solve for x
    x = 69,097.52/238.17
  6. Step 6: Final answer
    x = 290.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.