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Finding the Fourth Proportional to 139.77, 194.22 and 138.29

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Solution

The fourth proportional to 139.77, 194.22 and 138.29 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.77 : 194.22 = 138.29 : x
  2. Step 2: Convert to fraction form
    139.77/194.22 = 138.29/x
  3. Step 3: Cross multiply
    139.77x = 194.22 × 138.29
  4. Step 4: Simplify right side
    139.77x = 26,857.71
  5. Step 5: Solve for x
    x = 26,857.71/139.77
  6. Step 6: Final answer
    x = 192.16

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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.