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Finding the Fourth Proportional to 335.27, 502.91 and 213.17

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Solution

The fourth proportional to 335.27, 502.91 and 213.17 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.27 : 502.91 = 213.17 : x
  2. Step 2: Convert to fraction form
    335.27/502.91 = 213.17/x
  3. Step 3: Cross multiply
    335.27x = 502.91 × 213.17
  4. Step 4: Simplify right side
    335.27x = 107,201.74
  5. Step 5: Solve for x
    x = 107,201.74/335.27
  6. Step 6: Final answer
    x = 319.75

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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.