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Finding the Fourth Proportional to 376.25, 519.12 and 226.83

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Solution

The fourth proportional to 376.25, 519.12 and 226.83 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.25 : 519.12 = 226.83 : x
  2. Step 2: Convert to fraction form
    376.25/519.12 = 226.83/x
  3. Step 3: Cross multiply
    376.25x = 519.12 × 226.83
  4. Step 4: Simplify right side
    376.25x = 117,753.30
  5. Step 5: Solve for x
    x = 117,753.30/376.25
  6. Step 6: Final answer
    x = 312.97

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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.