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Finding the Fourth Proportional to 394.14, 590.96 and 188.71

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Solution

The fourth proportional to 394.14, 590.96 and 188.71 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.14 : 590.96 = 188.71 : x
  2. Step 2: Convert to fraction form
    394.14/590.96 = 188.71/x
  3. Step 3: Cross multiply
    394.14x = 590.96 × 188.71
  4. Step 4: Simplify right side
    394.14x = 111,517.11
  5. Step 5: Solve for x
    x = 111,517.11/394.14
  6. Step 6: Final answer
    x = 282.94

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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.