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Finding the Fourth Proportional to 306.14, 422 and 222.98

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Solution

The fourth proportional to 306.14, 422 and 222.98 is: 307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 422 = 222.98 : x
  2. Step 2: Convert to fraction form
    306.14/422 = 222.98/x
  3. Step 3: Cross multiply
    306.14x = 422 × 222.98
  4. Step 4: Simplify right side
    306.14x = 94,097.56
  5. Step 5: Solve for x
    x = 94,097.56/306.14
  6. Step 6: Final answer
    x = 307.37

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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.