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Finding the Fourth Proportional to 380.33, 523.44 and 269.61

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Solution

The fourth proportional to 380.33, 523.44 and 269.61 is: 371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.33 : 523.44 = 269.61 : x
  2. Step 2: Convert to fraction form
    380.33/523.44 = 269.61/x
  3. Step 3: Cross multiply
    380.33x = 523.44 × 269.61
  4. Step 4: Simplify right side
    380.33x = 141,124.66
  5. Step 5: Solve for x
    x = 141,124.66/380.33
  6. Step 6: Final answer
    x = 371.06

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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.