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Finding the Fourth Proportional to 394.17, 591.14 and 137.61

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Solution

The fourth proportional to 394.17, 591.14 and 137.61 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.17 : 591.14 = 137.61 : x
  2. Step 2: Convert to fraction form
    394.17/591.14 = 137.61/x
  3. Step 3: Cross multiply
    394.17x = 591.14 × 137.61
  4. Step 4: Simplify right side
    394.17x = 81,346.09
  5. Step 5: Solve for x
    x = 81,346.09/394.17
  6. Step 6: Final answer
    x = 206.37

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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.