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Finding the Fourth Proportional to 181.10, 269.69 and 169.42

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Solution

The fourth proportional to 181.10, 269.69 and 169.42 is: 252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.10 : 269.69 = 169.42 : x
  2. Step 2: Convert to fraction form
    181.10/269.69 = 169.42/x
  3. Step 3: Cross multiply
    181.10x = 269.69 × 169.42
  4. Step 4: Simplify right side
    181.10x = 45,690.63
  5. Step 5: Solve for x
    x = 45,690.63/181.10
  6. Step 6: Final answer
    x = 252.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.