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Finding the Fourth Proportional to 371.15, 512.22 and 213.78

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Solution

The fourth proportional to 371.15, 512.22 and 213.78 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.15 : 512.22 = 213.78 : x
  2. Step 2: Convert to fraction form
    371.15/512.22 = 213.78/x
  3. Step 3: Cross multiply
    371.15x = 512.22 × 213.78
  4. Step 4: Simplify right side
    371.15x = 109,505.11
  5. Step 5: Solve for x
    x = 109,505.11/371.15
  6. Step 6: Final answer
    x = 295.04

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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.