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Finding the Fourth Proportional to 371.23, 512.35 and 213.83

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Solution

The fourth proportional to 371.23, 512.35 and 213.83 is: 295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.23 : 512.35 = 213.83 : x
  2. Step 2: Convert to fraction form
    371.23/512.35 = 213.83/x
  3. Step 3: Cross multiply
    371.23x = 512.35 × 213.83
  4. Step 4: Simplify right side
    371.23x = 109,557.39
  5. Step 5: Solve for x
    x = 109,557.39/371.23
  6. Step 6: Final answer
    x = 295.12

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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.