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Finding the Fourth Proportional to 394.49, 591.50 and 120.50

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Solution

The fourth proportional to 394.49, 591.50 and 120.50 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.49 : 591.50 = 120.50 : x
  2. Step 2: Convert to fraction form
    394.49/591.50 = 120.50/x
  3. Step 3: Cross multiply
    394.49x = 591.50 × 120.50
  4. Step 4: Simplify right side
    394.49x = 71,275.75
  5. Step 5: Solve for x
    x = 71,275.75/394.49
  6. Step 6: Final answer
    x = 180.68

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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.