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Finding the Fourth Proportional to 120.52, 181.83 and 119.08

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Solution

The fourth proportional to 120.52, 181.83 and 119.08 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 181.83 = 119.08 : x
  2. Step 2: Convert to fraction form
    120.52/181.83 = 119.08/x
  3. Step 3: Cross multiply
    120.52x = 181.83 × 119.08
  4. Step 4: Simplify right side
    120.52x = 21,652.32
  5. Step 5: Solve for x
    x = 21,652.32/120.52
  6. Step 6: Final answer
    x = 179.66

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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.