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Finding the Fourth Proportional to 394.30, 591.52 and 120.40

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Solution

The fourth proportional to 394.30, 591.52 and 120.40 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 591.52 = 120.40 : x
  2. Step 2: Convert to fraction form
    394.30/591.52 = 120.40/x
  3. Step 3: Cross multiply
    394.30x = 591.52 × 120.40
  4. Step 4: Simplify right side
    394.30x = 71,219.01
  5. Step 5: Solve for x
    x = 71,219.01/394.30
  6. Step 6: Final answer
    x = 180.62

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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.