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Finding the Fourth Proportional to 238.37, 329.36 and 211.23

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Solution

The fourth proportional to 238.37, 329.36 and 211.23 is: 291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.37 : 329.36 = 211.23 : x
  2. Step 2: Convert to fraction form
    238.37/329.36 = 211.23/x
  3. Step 3: Cross multiply
    238.37x = 329.36 × 211.23
  4. Step 4: Simplify right side
    238.37x = 69,569.66
  5. Step 5: Solve for x
    x = 69,569.66/238.37
  6. Step 6: Final answer
    x = 291.86

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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.