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Finding the Fourth Proportional to 181.41, 272.18 and 94.74

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Solution

The fourth proportional to 181.41, 272.18 and 94.74 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.41 : 272.18 = 94.74 : x
  2. Step 2: Convert to fraction form
    181.41/272.18 = 94.74/x
  3. Step 3: Cross multiply
    181.41x = 272.18 × 94.74
  4. Step 4: Simplify right side
    181.41x = 25,785.02
  5. Step 5: Solve for x
    x = 25,785.02/181.41
  6. Step 6: Final answer
    x = 142.14

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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.