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Finding the Fourth Proportional to 139.22, 193.19 and 135.44

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Solution

The fourth proportional to 139.22, 193.19 and 135.44 is: 187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 193.19 = 135.44 : x
  2. Step 2: Convert to fraction form
    139.22/193.19 = 135.44/x
  3. Step 3: Cross multiply
    139.22x = 193.19 × 135.44
  4. Step 4: Simplify right side
    139.22x = 26,165.65
  5. Step 5: Solve for x
    x = 26,165.65/139.22
  6. Step 6: Final answer
    x = 187.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.