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Finding the Fourth Proportional to 310.11, 427.28 and 206.43

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Solution

The fourth proportional to 310.11, 427.28 and 206.43 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.11 : 427.28 = 206.43 : x
  2. Step 2: Convert to fraction form
    310.11/427.28 = 206.43/x
  3. Step 3: Cross multiply
    310.11x = 427.28 × 206.43
  4. Step 4: Simplify right side
    310.11x = 88,202.38
  5. Step 5: Solve for x
    x = 88,202.38/310.11
  6. Step 6: Final answer
    x = 284.42

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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.