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Finding the Fourth Proportional to 428.26, 641.83 and 171.46

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Solution

The fourth proportional to 428.26, 641.83 and 171.46 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.26 : 641.83 = 171.46 : x
  2. Step 2: Convert to fraction form
    428.26/641.83 = 171.46/x
  3. Step 3: Cross multiply
    428.26x = 641.83 × 171.46
  4. Step 4: Simplify right side
    428.26x = 110,048.17
  5. Step 5: Solve for x
    x = 110,048.17/428.26
  6. Step 6: Final answer
    x = 256.97

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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.