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Finding the Fourth Proportional to 371.70, 512.88 and 212.19

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Solution

The fourth proportional to 371.70, 512.88 and 212.19 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 512.88 = 212.19 : x
  2. Step 2: Convert to fraction form
    371.70/512.88 = 212.19/x
  3. Step 3: Cross multiply
    371.70x = 512.88 × 212.19
  4. Step 4: Simplify right side
    371.70x = 108,828.01
  5. Step 5: Solve for x
    x = 108,828.01/371.70
  6. Step 6: Final answer
    x = 292.78

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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.