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Finding the Fourth Proportional to 310.89, 428.82 and 212.49

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Solution

The fourth proportional to 310.89, 428.82 and 212.49 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.89 : 428.82 = 212.49 : x
  2. Step 2: Convert to fraction form
    310.89/428.82 = 212.49/x
  3. Step 3: Cross multiply
    310.89x = 428.82 × 212.49
  4. Step 4: Simplify right side
    310.89x = 91,119.96
  5. Step 5: Solve for x
    x = 91,119.96/310.89
  6. Step 6: Final answer
    x = 293.09

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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.