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Finding the Fourth Proportional to 181.21, 249.99 and 114.83

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Solution

The fourth proportional to 181.21, 249.99 and 114.83 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 249.99 = 114.83 : x
  2. Step 2: Convert to fraction form
    181.21/249.99 = 114.83/x
  3. Step 3: Cross multiply
    181.21x = 249.99 × 114.83
  4. Step 4: Simplify right side
    181.21x = 28,706.35
  5. Step 5: Solve for x
    x = 28,706.35/181.21
  6. Step 6: Final answer
    x = 158.41

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Why These Related Problems?

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