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Finding the Fourth Proportional to 334.23, 500.84 and 171.42

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Solution

The fourth proportional to 334.23, 500.84 and 171.42 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 500.84 = 171.42 : x
  2. Step 2: Convert to fraction form
    334.23/500.84 = 171.42/x
  3. Step 3: Cross multiply
    334.23x = 500.84 × 171.42
  4. Step 4: Simplify right side
    334.23x = 85,853.14
  5. Step 5: Solve for x
    x = 85,853.14/334.23
  6. Step 6: Final answer
    x = 256.87

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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.