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Finding the Fourth Proportional to 394.50, 591.81 and 120.63

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Solution

The fourth proportional to 394.50, 591.81 and 120.63 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 591.81 = 120.63 : x
  2. Step 2: Convert to fraction form
    394.50/591.81 = 120.63/x
  3. Step 3: Cross multiply
    394.50x = 591.81 × 120.63
  4. Step 4: Simplify right side
    394.50x = 71,390.04
  5. Step 5: Solve for x
    x = 71,390.04/394.50
  6. Step 6: Final answer
    x = 180.96

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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.