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Finding the Fourth Proportional to 371.22, 512.21 and 213.85

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Solution

The fourth proportional to 371.22, 512.21 and 213.85 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 512.21 = 213.85 : x
  2. Step 2: Convert to fraction form
    371.22/512.21 = 213.85/x
  3. Step 3: Cross multiply
    371.22x = 512.21 × 213.85
  4. Step 4: Simplify right side
    371.22x = 109,537.28
  5. Step 5: Solve for x
    x = 109,537.28/371.22
  6. Step 6: Final answer
    x = 295.08

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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.