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Finding the Fourth Proportional to 181.10, 270.34 and 167.75

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Solution

The fourth proportional to 181.10, 270.34 and 167.75 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.10 : 270.34 = 167.75 : x
  2. Step 2: Convert to fraction form
    181.10/270.34 = 167.75/x
  3. Step 3: Cross multiply
    181.10x = 270.34 × 167.75
  4. Step 4: Simplify right side
    181.10x = 45,348.70
  5. Step 5: Solve for x
    x = 45,348.70/181.10
  6. Step 6: Final answer
    x = 250.41

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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.