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Finding the Fourth Proportional to 371.16, 512.04 and 213.78

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Solution

The fourth proportional to 371.16, 512.04 and 213.78 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 512.04 = 213.78 : x
  2. Step 2: Convert to fraction form
    371.16/512.04 = 213.78/x
  3. Step 3: Cross multiply
    371.16x = 512.04 × 213.78
  4. Step 4: Simplify right side
    371.16x = 109,463.91
  5. Step 5: Solve for x
    x = 109,463.91/371.16
  6. Step 6: Final answer
    x = 294.92

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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.