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Finding the Fourth Proportional to 139.25, 207.96 and 120.03

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Solution

The fourth proportional to 139.25, 207.96 and 120.03 is: 179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.25 : 207.96 = 120.03 : x
  2. Step 2: Convert to fraction form
    139.25/207.96 = 120.03/x
  3. Step 3: Cross multiply
    139.25x = 207.96 × 120.03
  4. Step 4: Simplify right side
    139.25x = 24,961.44
  5. Step 5: Solve for x
    x = 24,961.44/139.25
  6. Step 6: Final answer
    x = 179.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.