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Finding the Fourth Proportional to 181.20, 270.58 and 155.22

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Solution

The fourth proportional to 181.20, 270.58 and 155.22 is: 231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 270.58 = 155.22 : x
  2. Step 2: Convert to fraction form
    181.20/270.58 = 155.22/x
  3. Step 3: Cross multiply
    181.20x = 270.58 × 155.22
  4. Step 4: Simplify right side
    181.20x = 41,999.43
  5. Step 5: Solve for x
    x = 41,999.43/181.20
  6. Step 6: Final answer
    x = 231.78

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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.