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Finding the Fourth Proportional to 382.97, 574.54 and 109.06

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Solution

The fourth proportional to 382.97, 574.54 and 109.06 is: 163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 574.54 = 109.06 : x
  2. Step 2: Convert to fraction form
    382.97/574.54 = 109.06/x
  3. Step 3: Cross multiply
    382.97x = 574.54 × 109.06
  4. Step 4: Simplify right side
    382.97x = 62,659.06
  5. Step 5: Solve for x
    x = 62,659.06/382.97
  6. Step 6: Final answer
    x = 163.62

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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.