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Finding the Fourth Proportional to 335.38, 502.11 and 258.64

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Solution

The fourth proportional to 335.38, 502.11 and 258.64 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.38 : 502.11 = 258.64 : x
  2. Step 2: Convert to fraction form
    335.38/502.11 = 258.64/x
  3. Step 3: Cross multiply
    335.38x = 502.11 × 258.64
  4. Step 4: Simplify right side
    335.38x = 129,865.73
  5. Step 5: Solve for x
    x = 129,865.73/335.38
  6. Step 6: Final answer
    x = 387.22

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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.