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Finding the Fourth Proportional to 310.34, 428.31 and 193.82

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Solution

The fourth proportional to 310.34, 428.31 and 193.82 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 428.31 = 193.82 : x
  2. Step 2: Convert to fraction form
    310.34/428.31 = 193.82/x
  3. Step 3: Cross multiply
    310.34x = 428.31 × 193.82
  4. Step 4: Simplify right side
    310.34x = 83,015.04
  5. Step 5: Solve for x
    x = 83,015.04/310.34
  6. Step 6: Final answer
    x = 267.50

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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.