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Finding the Fourth Proportional to 394.56, 592.89 and 212.09

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Solution

The fourth proportional to 394.56, 592.89 and 212.09 is: 318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 592.89 = 212.09 : x
  2. Step 2: Convert to fraction form
    394.56/592.89 = 212.09/x
  3. Step 3: Cross multiply
    394.56x = 592.89 × 212.09
  4. Step 4: Simplify right side
    394.56x = 125,743.08
  5. Step 5: Solve for x
    x = 125,743.08/394.56
  6. Step 6: Final answer
    x = 318.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.