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Finding the Fourth Proportional to 394.80, 588.96 and 339.60

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Solution

The fourth proportional to 394.80, 588.96 and 339.60 is: 506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 588.96 = 339.60 : x
  2. Step 2: Convert to fraction form
    394.80/588.96 = 339.60/x
  3. Step 3: Cross multiply
    394.80x = 588.96 × 339.60
  4. Step 4: Simplify right side
    394.80x = 200,010.82
  5. Step 5: Solve for x
    x = 200,010.82/394.80
  6. Step 6: Final answer
    x = 506.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.