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Finding the Fourth Proportional to 371.97, 512.74 and 278.57

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Solution

The fourth proportional to 371.97, 512.74 and 278.57 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.97 : 512.74 = 278.57 : x
  2. Step 2: Convert to fraction form
    371.97/512.74 = 278.57/x
  3. Step 3: Cross multiply
    371.97x = 512.74 × 278.57
  4. Step 4: Simplify right side
    371.97x = 142,833.98
  5. Step 5: Solve for x
    x = 142,833.98/371.97
  6. Step 6: Final answer
    x = 383.99

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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.