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Finding the Fourth Proportional to 181.04, 249.89 and 149.85

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Solution

The fourth proportional to 181.04, 249.89 and 149.85 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.04 : 249.89 = 149.85 : x
  2. Step 2: Convert to fraction form
    181.04/249.89 = 149.85/x
  3. Step 3: Cross multiply
    181.04x = 249.89 × 149.85
  4. Step 4: Simplify right side
    181.04x = 37,445.27
  5. Step 5: Solve for x
    x = 37,445.27/181.04
  6. Step 6: Final answer
    x = 206.84

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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.