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Finding the Fourth Proportional to 180.34, 270.06 and 111.76

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Solution

The fourth proportional to 180.34, 270.06 and 111.76 is: 167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.34 : 270.06 = 111.76 : x
  2. Step 2: Convert to fraction form
    180.34/270.06 = 111.76/x
  3. Step 3: Cross multiply
    180.34x = 270.06 × 111.76
  4. Step 4: Simplify right side
    180.34x = 30,181.91
  5. Step 5: Solve for x
    x = 30,181.91/180.34
  6. Step 6: Final answer
    x = 167.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.