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Finding the Fourth Proportional to 265.97, 396.98 and 254.12

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Solution

The fourth proportional to 265.97, 396.98 and 254.12 is: 379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 396.98 = 254.12 : x
  2. Step 2: Convert to fraction form
    265.97/396.98 = 254.12/x
  3. Step 3: Cross multiply
    265.97x = 396.98 × 254.12
  4. Step 4: Simplify right side
    265.97x = 100,877.30
  5. Step 5: Solve for x
    x = 100,877.30/265.97
  6. Step 6: Final answer
    x = 379.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.