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Finding the Fourth Proportional to 269.16, 371.62 and 181.80

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Solution

The fourth proportional to 269.16, 371.62 and 181.80 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 371.62 = 181.80 : x
  2. Step 2: Convert to fraction form
    269.16/371.62 = 181.80/x
  3. Step 3: Cross multiply
    269.16x = 371.62 × 181.80
  4. Step 4: Simplify right side
    269.16x = 67,560.52
  5. Step 5: Solve for x
    x = 67,560.52/269.16
  6. Step 6: Final answer
    x = 251.01

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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.