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Finding the Fourth Proportional to 371.72, 512.90 and 216.44

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Solution

The fourth proportional to 371.72, 512.90 and 216.44 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.72 : 512.90 = 216.44 : x
  2. Step 2: Convert to fraction form
    371.72/512.90 = 216.44/x
  3. Step 3: Cross multiply
    371.72x = 512.90 × 216.44
  4. Step 4: Simplify right side
    371.72x = 111,012.08
  5. Step 5: Solve for x
    x = 111,012.08/371.72
  6. Step 6: Final answer
    x = 298.64

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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.