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Finding the Fourth Proportional to 181.26, 271.61 and 120.17

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Solution

The fourth proportional to 181.26, 271.61 and 120.17 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 271.61 = 120.17 : x
  2. Step 2: Convert to fraction form
    181.26/271.61 = 120.17/x
  3. Step 3: Cross multiply
    181.26x = 271.61 × 120.17
  4. Step 4: Simplify right side
    181.26x = 32,640.58
  5. Step 5: Solve for x
    x = 32,640.58/181.26
  6. Step 6: Final answer
    x = 180.08

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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.