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Finding the Fourth Proportional to 226.50, 337.70 and 212.73

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Solution

The fourth proportional to 226.50, 337.70 and 212.73 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 337.70 = 212.73 : x
  2. Step 2: Convert to fraction form
    226.50/337.70 = 212.73/x
  3. Step 3: Cross multiply
    226.50x = 337.70 × 212.73
  4. Step 4: Simplify right side
    226.50x = 71,837.86
  5. Step 5: Solve for x
    x = 71,837.86/226.50
  6. Step 6: Final answer
    x = 317.16

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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.