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Finding the Fourth Proportional to 394.80, 592.09 and 120.75

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Solution

The fourth proportional to 394.80, 592.09 and 120.75 is: 181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 592.09 = 120.75 : x
  2. Step 2: Convert to fraction form
    394.80/592.09 = 120.75/x
  3. Step 3: Cross multiply
    394.80x = 592.09 × 120.75
  4. Step 4: Simplify right side
    394.80x = 71,494.87
  5. Step 5: Solve for x
    x = 71,494.87/394.80
  6. Step 6: Final answer
    x = 181.09

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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.