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Finding the Fourth Proportional to 394.38, 591.57 and 137.90

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Solution

The fourth proportional to 394.38, 591.57 and 137.90 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.38 : 591.57 = 137.90 : x
  2. Step 2: Convert to fraction form
    394.38/591.57 = 137.90/x
  3. Step 3: Cross multiply
    394.38x = 591.57 × 137.90
  4. Step 4: Simplify right side
    394.38x = 81,577.50
  5. Step 5: Solve for x
    x = 81,577.50/394.38
  6. Step 6: Final answer
    x = 206.85

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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.