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Finding the Fourth Proportional to 181.64, 272.09 and 120.80

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Solution

The fourth proportional to 181.64, 272.09 and 120.80 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 272.09 = 120.80 : x
  2. Step 2: Convert to fraction form
    181.64/272.09 = 120.80/x
  3. Step 3: Cross multiply
    181.64x = 272.09 × 120.80
  4. Step 4: Simplify right side
    181.64x = 32,867.87
  5. Step 5: Solve for x
    x = 32,867.87/181.64
  6. Step 6: Final answer
    x = 180.95

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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.