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Finding the Fourth Proportional to 394.21, 543.77 and 261.43

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Solution

The fourth proportional to 394.21, 543.77 and 261.43 is: 360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.21 : 543.77 = 261.43 : x
  2. Step 2: Convert to fraction form
    394.21/543.77 = 261.43/x
  3. Step 3: Cross multiply
    394.21x = 543.77 × 261.43
  4. Step 4: Simplify right side
    394.21x = 142,157.79
  5. Step 5: Solve for x
    x = 142,157.79/394.21
  6. Step 6: Final answer
    x = 360.61

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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.