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Finding the Fourth Proportional to 394.05, 591.08 and 188.43

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Solution

The fourth proportional to 394.05, 591.08 and 188.43 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.05 : 591.08 = 188.43 : x
  2. Step 2: Convert to fraction form
    394.05/591.08 = 188.43/x
  3. Step 3: Cross multiply
    394.05x = 591.08 × 188.43
  4. Step 4: Simplify right side
    394.05x = 111,376.26
  5. Step 5: Solve for x
    x = 111,376.26/394.05
  6. Step 6: Final answer
    x = 282.65

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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.