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Finding the Fourth Proportional to 181.08, 269.90 and 179.66

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Solution

The fourth proportional to 181.08, 269.90 and 179.66 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.08 : 269.90 = 179.66 : x
  2. Step 2: Convert to fraction form
    181.08/269.90 = 179.66/x
  3. Step 3: Cross multiply
    181.08x = 269.90 × 179.66
  4. Step 4: Simplify right side
    181.08x = 48,491.36
  5. Step 5: Solve for x
    x = 48,491.36/181.08
  6. Step 6: Final answer
    x = 267.79

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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.