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Finding the Fourth Proportional to 139.00, 191.41 and 119.17

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Solution

The fourth proportional to 139.00, 191.41 and 119.17 is: 164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.00 : 191.41 = 119.17 : x
  2. Step 2: Convert to fraction form
    139.00/191.41 = 119.17/x
  3. Step 3: Cross multiply
    139.00x = 191.41 × 119.17
  4. Step 4: Simplify right side
    139.00x = 22,809.37
  5. Step 5: Solve for x
    x = 22,809.37/139.00
  6. Step 6: Final answer
    x = 164.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.