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Finding the Fourth Proportional to 335.29, 502.96 and 115.91

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Solution

The fourth proportional to 335.29, 502.96 and 115.91 is: 173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.29 : 502.96 = 115.91 : x
  2. Step 2: Convert to fraction form
    335.29/502.96 = 115.91/x
  3. Step 3: Cross multiply
    335.29x = 502.96 × 115.91
  4. Step 4: Simplify right side
    335.29x = 58,295.98
  5. Step 5: Solve for x
    x = 58,295.98/335.29
  6. Step 6: Final answer
    x = 173.87

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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.