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Finding the Fourth Proportional to 394.43, 591.68 and 120.55

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Solution

The fourth proportional to 394.43, 591.68 and 120.55 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.43 : 591.68 = 120.55 : x
  2. Step 2: Convert to fraction form
    394.43/591.68 = 120.55/x
  3. Step 3: Cross multiply
    394.43x = 591.68 × 120.55
  4. Step 4: Simplify right side
    394.43x = 71,327.02
  5. Step 5: Solve for x
    x = 71,327.02/394.43
  6. Step 6: Final answer
    x = 180.84

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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.