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Finding the Fourth Proportional to 119.97, 179.06 and 108.50

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Solution

The fourth proportional to 119.97, 179.06 and 108.50 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 179.06 = 108.50 : x
  2. Step 2: Convert to fraction form
    119.97/179.06 = 108.50/x
  3. Step 3: Cross multiply
    119.97x = 179.06 × 108.50
  4. Step 4: Simplify right side
    119.97x = 19,426.57
  5. Step 5: Solve for x
    x = 19,426.57/119.97
  6. Step 6: Final answer
    x = 161.93

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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.