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Finding the Fourth Proportional to 310.46, 428.38 and 199.90

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Solution

The fourth proportional to 310.46, 428.38 and 199.90 is: 275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.46 : 428.38 = 199.90 : x
  2. Step 2: Convert to fraction form
    310.46/428.38 = 199.90/x
  3. Step 3: Cross multiply
    310.46x = 428.38 × 199.90
  4. Step 4: Simplify right side
    310.46x = 85,633.16
  5. Step 5: Solve for x
    x = 85,633.16/310.46
  6. Step 6: Final answer
    x = 275.83

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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.