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Finding the Fourth Proportional to 310.38, 427.82 and 221.88

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Solution

The fourth proportional to 310.38, 427.82 and 221.88 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.38 : 427.82 = 221.88 : x
  2. Step 2: Convert to fraction form
    310.38/427.82 = 221.88/x
  3. Step 3: Cross multiply
    310.38x = 427.82 × 221.88
  4. Step 4: Simplify right side
    310.38x = 94,924.70
  5. Step 5: Solve for x
    x = 94,924.70/310.38
  6. Step 6: Final answer
    x = 305.83

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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.