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Finding the Fourth Proportional to 371.38, 512.57 and 216.22

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Solution

The fourth proportional to 371.38, 512.57 and 216.22 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.38 : 512.57 = 216.22 : x
  2. Step 2: Convert to fraction form
    371.38/512.57 = 216.22/x
  3. Step 3: Cross multiply
    371.38x = 512.57 × 216.22
  4. Step 4: Simplify right side
    371.38x = 110,827.89
  5. Step 5: Solve for x
    x = 110,827.89/371.38
  6. Step 6: Final answer
    x = 298.42

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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.