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Finding the Fourth Proportional to 226.62, 314.18 and 222.15

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Solution

The fourth proportional to 226.62, 314.18 and 222.15 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.62 : 314.18 = 222.15 : x
  2. Step 2: Convert to fraction form
    226.62/314.18 = 222.15/x
  3. Step 3: Cross multiply
    226.62x = 314.18 × 222.15
  4. Step 4: Simplify right side
    226.62x = 69,793.98
  5. Step 5: Solve for x
    x = 69,793.98/226.62
  6. Step 6: Final answer
    x = 307.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.