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Finding the Fourth Proportional to 226.75, 338.06 and 212.98

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Solution

The fourth proportional to 226.75, 338.06 and 212.98 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.75 : 338.06 = 212.98 : x
  2. Step 2: Convert to fraction form
    226.75/338.06 = 212.98/x
  3. Step 3: Cross multiply
    226.75x = 338.06 × 212.98
  4. Step 4: Simplify right side
    226.75x = 72,000.55
  5. Step 5: Solve for x
    x = 72,000.55/226.75
  6. Step 6: Final answer
    x = 317.53

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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.