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Finding the Fourth Proportional to 376.18, 519.17 and 226.85

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Solution

The fourth proportional to 376.18, 519.17 and 226.85 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.18 : 519.17 = 226.85 : x
  2. Step 2: Convert to fraction form
    376.18/519.17 = 226.85/x
  3. Step 3: Cross multiply
    376.18x = 519.17 × 226.85
  4. Step 4: Simplify right side
    376.18x = 117,769.98
  5. Step 5: Solve for x
    x = 117,769.98/376.18
  6. Step 6: Final answer
    x = 313.07

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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.