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Finding the Fourth Proportional to 393.96, 591.14 and 220.82

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Solution

The fourth proportional to 393.96, 591.14 and 220.82 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 591.14 = 220.82 : x
  2. Step 2: Convert to fraction form
    393.96/591.14 = 220.82/x
  3. Step 3: Cross multiply
    393.96x = 591.14 × 220.82
  4. Step 4: Simplify right side
    393.96x = 130,535.53
  5. Step 5: Solve for x
    x = 130,535.53/393.96
  6. Step 6: Final answer
    x = 331.34

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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.