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Finding the Fourth Proportional to 394.82, 591.83 and 189.32

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Solution

The fourth proportional to 394.82, 591.83 and 189.32 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.82 : 591.83 = 189.32 : x
  2. Step 2: Convert to fraction form
    394.82/591.83 = 189.32/x
  3. Step 3: Cross multiply
    394.82x = 591.83 × 189.32
  4. Step 4: Simplify right side
    394.82x = 112,041.35
  5. Step 5: Solve for x
    x = 112,041.35/394.82
  6. Step 6: Final answer
    x = 283.78

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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.