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Finding the Fourth Proportional to 380.98, 571.50 and 107.09

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Solution

The fourth proportional to 380.98, 571.50 and 107.09 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.98 : 571.50 = 107.09 : x
  2. Step 2: Convert to fraction form
    380.98/571.50 = 107.09/x
  3. Step 3: Cross multiply
    380.98x = 571.50 × 107.09
  4. Step 4: Simplify right side
    380.98x = 61,201.94
  5. Step 5: Solve for x
    x = 61,201.94/380.98
  6. Step 6: Final answer
    x = 160.64

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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.