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Finding the Fourth Proportional to 428.89, 642.94 and 197.96

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Solution

The fourth proportional to 428.89, 642.94 and 197.96 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.89 : 642.94 = 197.96 : x
  2. Step 2: Convert to fraction form
    428.89/642.94 = 197.96/x
  3. Step 3: Cross multiply
    428.89x = 642.94 × 197.96
  4. Step 4: Simplify right side
    428.89x = 127,277.51
  5. Step 5: Solve for x
    x = 127,277.51/428.89
  6. Step 6: Final answer
    x = 296.76

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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.