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Finding the Fourth Proportional to 269.90, 372.07 and 181.22

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Solution

The fourth proportional to 269.90, 372.07 and 181.22 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 372.07 = 181.22 : x
  2. Step 2: Convert to fraction form
    269.90/372.07 = 181.22/x
  3. Step 3: Cross multiply
    269.90x = 372.07 × 181.22
  4. Step 4: Simplify right side
    269.90x = 67,429.19
  5. Step 5: Solve for x
    x = 67,429.19/269.90
  6. Step 6: Final answer
    x = 249.83

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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.