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Finding the Fourth Proportional to 250.20, 376.82 and 226.14

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Solution

The fourth proportional to 250.20, 376.82 and 226.14 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.20 : 376.82 = 226.14 : x
  2. Step 2: Convert to fraction form
    250.20/376.82 = 226.14/x
  3. Step 3: Cross multiply
    250.20x = 376.82 × 226.14
  4. Step 4: Simplify right side
    250.20x = 85,212.94
  5. Step 5: Solve for x
    x = 85,212.94/250.20
  6. Step 6: Final answer
    x = 340.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.