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Finding the Fourth Proportional to 310.28, 428.17 and 199.86

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Solution

The fourth proportional to 310.28, 428.17 and 199.86 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 428.17 = 199.86 : x
  2. Step 2: Convert to fraction form
    310.28/428.17 = 199.86/x
  3. Step 3: Cross multiply
    310.28x = 428.17 × 199.86
  4. Step 4: Simplify right side
    310.28x = 85,573.06
  5. Step 5: Solve for x
    x = 85,573.06/310.28
  6. Step 6: Final answer
    x = 275.80

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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.