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Finding the Fourth Proportional to 428.49, 642.42 and 197.46

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Solution

The fourth proportional to 428.49, 642.42 and 197.46 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 642.42 = 197.46 : x
  2. Step 2: Convert to fraction form
    428.49/642.42 = 197.46/x
  3. Step 3: Cross multiply
    428.49x = 642.42 × 197.46
  4. Step 4: Simplify right side
    428.49x = 126,852.25
  5. Step 5: Solve for x
    x = 126,852.25/428.49
  6. Step 6: Final answer
    x = 296.04

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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.