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Finding the Fourth Proportional to 181.26, 249.80 and 128.81

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Solution

The fourth proportional to 181.26, 249.80 and 128.81 is: 177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 249.80 = 128.81 : x
  2. Step 2: Convert to fraction form
    181.26/249.80 = 128.81/x
  3. Step 3: Cross multiply
    181.26x = 249.80 × 128.81
  4. Step 4: Simplify right side
    181.26x = 32,175.49
  5. Step 5: Solve for x
    x = 32,175.49/181.26
  6. Step 6: Final answer
    x = 177.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.