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Finding the Fourth Proportional to 310.52, 428.34 and 194

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Solution

The fourth proportional to 310.52, 428.34 and 194 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 428.34 = 194 : x
  2. Step 2: Convert to fraction form
    310.52/428.34 = 194/x
  3. Step 3: Cross multiply
    310.52x = 428.34 × 194
  4. Step 4: Simplify right side
    310.52x = 83,097.96
  5. Step 5: Solve for x
    x = 83,097.96/310.52
  6. Step 6: Final answer
    x = 267.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.