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Finding the Fourth Proportional to 181.12, 270.34 and 179.60

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Solution

The fourth proportional to 181.12, 270.34 and 179.60 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.12 : 270.34 = 179.60 : x
  2. Step 2: Convert to fraction form
    181.12/270.34 = 179.60/x
  3. Step 3: Cross multiply
    181.12x = 270.34 × 179.60
  4. Step 4: Simplify right side
    181.12x = 48,553.06
  5. Step 5: Solve for x
    x = 48,553.06/181.12
  6. Step 6: Final answer
    x = 268.07

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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.