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Finding the Fourth Proportional to 371.11, 512.37 and 238.39

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Solution

The fourth proportional to 371.11, 512.37 and 238.39 is: 329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.11 : 512.37 = 238.39 : x
  2. Step 2: Convert to fraction form
    371.11/512.37 = 238.39/x
  3. Step 3: Cross multiply
    371.11x = 512.37 × 238.39
  4. Step 4: Simplify right side
    371.11x = 122,141.32
  5. Step 5: Solve for x
    x = 122,141.32/371.11
  6. Step 6: Final answer
    x = 329.12

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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.