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Finding the Fourth Proportional to 120.50, 179.80 and 108.38

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Solution

The fourth proportional to 120.50, 179.80 and 108.38 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 179.80 = 108.38 : x
  2. Step 2: Convert to fraction form
    120.50/179.80 = 108.38/x
  3. Step 3: Cross multiply
    120.50x = 179.80 × 108.38
  4. Step 4: Simplify right side
    120.50x = 19,486.72
  5. Step 5: Solve for x
    x = 19,486.72/120.50
  6. Step 6: Final answer
    x = 161.72

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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.