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Finding the Fourth Proportional to 394.26, 543.39 and 349.01

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Solution

The fourth proportional to 394.26, 543.39 and 349.01 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.26 : 543.39 = 349.01 : x
  2. Step 2: Convert to fraction form
    394.26/543.39 = 349.01/x
  3. Step 3: Cross multiply
    394.26x = 543.39 × 349.01
  4. Step 4: Simplify right side
    394.26x = 189,645.83
  5. Step 5: Solve for x
    x = 189,645.83/394.26
  6. Step 6: Final answer
    x = 481.02

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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.