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Finding the Fourth Proportional to 394.21, 591.27 and 209.05

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Solution

The fourth proportional to 394.21, 591.27 and 209.05 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.21 : 591.27 = 209.05 : x
  2. Step 2: Convert to fraction form
    394.21/591.27 = 209.05/x
  3. Step 3: Cross multiply
    394.21x = 591.27 × 209.05
  4. Step 4: Simplify right side
    394.21x = 123,602.73
  5. Step 5: Solve for x
    x = 123,602.73/394.21
  6. Step 6: Final answer
    x = 313.54

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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.