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Finding the Fourth Proportional to 263, 394.59 and 190.73

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Solution

The fourth proportional to 263, 394.59 and 190.73 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 394.59 = 190.73 : x
  2. Step 2: Convert to fraction form
    263/394.59 = 190.73/x
  3. Step 3: Cross multiply
    263x = 394.59 × 190.73
  4. Step 4: Simplify right side
    263x = 75,260.15
  5. Step 5: Solve for x
    x = 75,260.15/263
  6. Step 6: Final answer
    x = 286.16

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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.