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Finding the Fourth Proportional to 382.62, 574.14 and 190.26

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Solution

The fourth proportional to 382.62, 574.14 and 190.26 is: 285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 574.14 = 190.26 : x
  2. Step 2: Convert to fraction form
    382.62/574.14 = 190.26/x
  3. Step 3: Cross multiply
    382.62x = 574.14 × 190.26
  4. Step 4: Simplify right side
    382.62x = 109,235.88
  5. Step 5: Solve for x
    x = 109,235.88/382.62
  6. Step 6: Final answer
    x = 285.49

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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.