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Finding the Fourth Proportional to 379.27, 523.07 and 261.44

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Solution

The fourth proportional to 379.27, 523.07 and 261.44 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 523.07 = 261.44 : x
  2. Step 2: Convert to fraction form
    379.27/523.07 = 261.44/x
  3. Step 3: Cross multiply
    379.27x = 523.07 × 261.44
  4. Step 4: Simplify right side
    379.27x = 136,750.93
  5. Step 5: Solve for x
    x = 136,750.93/379.27
  6. Step 6: Final answer
    x = 360.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.