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Finding the Fourth Proportional to 120.57, 181.77 and 118.95

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Solution

The fourth proportional to 120.57, 181.77 and 118.95 is: 179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 181.77 = 118.95 : x
  2. Step 2: Convert to fraction form
    120.57/181.77 = 118.95/x
  3. Step 3: Cross multiply
    120.57x = 181.77 × 118.95
  4. Step 4: Simplify right side
    120.57x = 21,621.54
  5. Step 5: Solve for x
    x = 21,621.54/120.57
  6. Step 6: Final answer
    x = 179.33

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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.