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Finding the Fourth Proportional to 428.14, 642.00 and 196.96

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Solution

The fourth proportional to 428.14, 642.00 and 196.96 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 642.00 = 196.96 : x
  2. Step 2: Convert to fraction form
    428.14/642.00 = 196.96/x
  3. Step 3: Cross multiply
    428.14x = 642.00 × 196.96
  4. Step 4: Simplify right side
    428.14x = 126,446.30
  5. Step 5: Solve for x
    x = 126,446.30/428.14
  6. Step 6: Final answer
    x = 295.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.