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Finding the Fourth Proportional to 335.42, 502.66 and 261.97

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Solution

The fourth proportional to 335.42, 502.66 and 261.97 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 502.66 = 261.97 : x
  2. Step 2: Convert to fraction form
    335.42/502.66 = 261.97/x
  3. Step 3: Cross multiply
    335.42x = 502.66 × 261.97
  4. Step 4: Simplify right side
    335.42x = 131,680.91
  5. Step 5: Solve for x
    x = 131,680.91/335.42
  6. Step 6: Final answer
    x = 392.59

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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.