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Finding the Fourth Proportional to 120.67, 181.07 and 82.24

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Solution

The fourth proportional to 120.67, 181.07 and 82.24 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.67 : 181.07 = 82.24 : x
  2. Step 2: Convert to fraction form
    120.67/181.07 = 82.24/x
  3. Step 3: Cross multiply
    120.67x = 181.07 × 82.24
  4. Step 4: Simplify right side
    120.67x = 14,891.20
  5. Step 5: Solve for x
    x = 14,891.20/120.67
  6. Step 6: Final answer
    x = 123.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.