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Finding the Fourth Proportional to 310.27, 428.05 and 199.79

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Solution

The fourth proportional to 310.27, 428.05 and 199.79 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.27 : 428.05 = 199.79 : x
  2. Step 2: Convert to fraction form
    310.27/428.05 = 199.79/x
  3. Step 3: Cross multiply
    310.27x = 428.05 × 199.79
  4. Step 4: Simplify right side
    310.27x = 85,520.11
  5. Step 5: Solve for x
    x = 85,520.11/310.27
  6. Step 6: Final answer
    x = 275.63

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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.