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Finding the Fourth Proportional to 386.97, 580.22 and 232.80

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Solution

The fourth proportional to 386.97, 580.22 and 232.80 is: 349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 580.22 = 232.80 : x
  2. Step 2: Convert to fraction form
    386.97/580.22 = 232.80/x
  3. Step 3: Cross multiply
    386.97x = 580.22 × 232.80
  4. Step 4: Simplify right side
    386.97x = 135,074.05
  5. Step 5: Solve for x
    x = 135,074.05/386.97
  6. Step 6: Final answer
    x = 349.06

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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.