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Finding the Fourth Proportional to 181.32, 272.22 and 94.72

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Solution

The fourth proportional to 181.32, 272.22 and 94.72 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.32 : 272.22 = 94.72 : x
  2. Step 2: Convert to fraction form
    181.32/272.22 = 94.72/x
  3. Step 3: Cross multiply
    181.32x = 272.22 × 94.72
  4. Step 4: Simplify right side
    181.32x = 25,784.68
  5. Step 5: Solve for x
    x = 25,784.68/181.32
  6. Step 6: Final answer
    x = 142.21

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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.