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Finding the Fourth Proportional to 310.26, 428.16 and 199.95

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Solution

The fourth proportional to 310.26, 428.16 and 199.95 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 428.16 = 199.95 : x
  2. Step 2: Convert to fraction form
    310.26/428.16 = 199.95/x
  3. Step 3: Cross multiply
    310.26x = 428.16 × 199.95
  4. Step 4: Simplify right side
    310.26x = 85,610.59
  5. Step 5: Solve for x
    x = 85,610.59/310.26
  6. Step 6: Final answer
    x = 275.93

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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.