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Finding the Fourth Proportional to 333.96, 500.27 and 171.42

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Solution

The fourth proportional to 333.96, 500.27 and 171.42 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 500.27 = 171.42 : x
  2. Step 2: Convert to fraction form
    333.96/500.27 = 171.42/x
  3. Step 3: Cross multiply
    333.96x = 500.27 × 171.42
  4. Step 4: Simplify right side
    333.96x = 85,755.43
  5. Step 5: Solve for x
    x = 85,755.43/333.96
  6. Step 6: Final answer
    x = 256.78

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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.