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Finding the Fourth Proportional to 181.35, 270.41 and 179.76

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Solution

The fourth proportional to 181.35, 270.41 and 179.76 is: 268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.35 : 270.41 = 179.76 : x
  2. Step 2: Convert to fraction form
    181.35/270.41 = 179.76/x
  3. Step 3: Cross multiply
    181.35x = 270.41 × 179.76
  4. Step 4: Simplify right side
    181.35x = 48,608.00
  5. Step 5: Solve for x
    x = 48,608.00/181.35
  6. Step 6: Final answer
    x = 268.03

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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.