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Finding the Fourth Proportional to 181.03, 270.22 and 168.37

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Solution

The fourth proportional to 181.03, 270.22 and 168.37 is: 251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.03 : 270.22 = 168.37 : x
  2. Step 2: Convert to fraction form
    181.03/270.22 = 168.37/x
  3. Step 3: Cross multiply
    181.03x = 270.22 × 168.37
  4. Step 4: Simplify right side
    181.03x = 45,496.01
  5. Step 5: Solve for x
    x = 45,496.01/181.03
  6. Step 6: Final answer
    x = 251.32

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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.