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Finding the Fourth Proportional to 120.60, 181.92 and 118.92

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Solution

The fourth proportional to 120.60, 181.92 and 118.92 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 181.92 = 118.92 : x
  2. Step 2: Convert to fraction form
    120.60/181.92 = 118.92/x
  3. Step 3: Cross multiply
    120.60x = 181.92 × 118.92
  4. Step 4: Simplify right side
    120.60x = 21,633.93
  5. Step 5: Solve for x
    x = 21,633.93/120.60
  6. Step 6: Final answer
    x = 179.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.