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Finding the Fourth Proportional to 380.97, 571.46 and 107.09

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Solution

The fourth proportional to 380.97, 571.46 and 107.09 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 571.46 = 107.09 : x
  2. Step 2: Convert to fraction form
    380.97/571.46 = 107.09/x
  3. Step 3: Cross multiply
    380.97x = 571.46 × 107.09
  4. Step 4: Simplify right side
    380.97x = 61,196.40
  5. Step 5: Solve for x
    x = 61,196.40/380.97
  6. Step 6: Final answer
    x = 160.63

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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.