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Finding the Fourth Proportional to 371.15, 512.21 and 205.38

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Solution

The fourth proportional to 371.15, 512.21 and 205.38 is: 283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.15 : 512.21 = 205.38 : x
  2. Step 2: Convert to fraction form
    371.15/512.21 = 205.38/x
  3. Step 3: Cross multiply
    371.15x = 512.21 × 205.38
  4. Step 4: Simplify right side
    371.15x = 105,197.69
  5. Step 5: Solve for x
    x = 105,197.69/371.15
  6. Step 6: Final answer
    x = 283.44

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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.