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Finding the Fourth Proportional to 371.38, 512.50 and 216.13

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Solution

The fourth proportional to 371.38, 512.50 and 216.13 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.38 : 512.50 = 216.13 : x
  2. Step 2: Convert to fraction form
    371.38/512.50 = 216.13/x
  3. Step 3: Cross multiply
    371.38x = 512.50 × 216.13
  4. Step 4: Simplify right side
    371.38x = 110,764.06
  5. Step 5: Solve for x
    x = 110,764.06/371.38
  6. Step 6: Final answer
    x = 298.25

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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.