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Finding the Fourth Proportional to 371.44, 512.20 and 283.12

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Solution

The fourth proportional to 371.44, 512.20 and 283.12 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.44 : 512.20 = 283.12 : x
  2. Step 2: Convert to fraction form
    371.44/512.20 = 283.12/x
  3. Step 3: Cross multiply
    371.44x = 512.20 × 283.12
  4. Step 4: Simplify right side
    371.44x = 145,013.78
  5. Step 5: Solve for x
    x = 145,013.78/371.44
  6. Step 6: Final answer
    x = 390.41

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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.