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Finding the Fourth Proportional to 395.94, 594.02 and 190.61

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Solution

The fourth proportional to 395.94, 594.02 and 190.61 is: 285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 594.02 = 190.61 : x
  2. Step 2: Convert to fraction form
    395.94/594.02 = 190.61/x
  3. Step 3: Cross multiply
    395.94x = 594.02 × 190.61
  4. Step 4: Simplify right side
    395.94x = 113,226.15
  5. Step 5: Solve for x
    x = 113,226.15/395.94
  6. Step 6: Final answer
    x = 285.97

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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.