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Finding the Fourth Proportional to 382.89, 574.39 and 136.03

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Solution

The fourth proportional to 382.89, 574.39 and 136.03 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.89 : 574.39 = 136.03 : x
  2. Step 2: Convert to fraction form
    382.89/574.39 = 136.03/x
  3. Step 3: Cross multiply
    382.89x = 574.39 × 136.03
  4. Step 4: Simplify right side
    382.89x = 78,134.27
  5. Step 5: Solve for x
    x = 78,134.27/382.89
  6. Step 6: Final answer
    x = 204.06

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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.