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Finding the Fourth Proportional to 180.29, 248.85 and 122.06

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Solution

The fourth proportional to 180.29, 248.85 and 122.06 is: 168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 248.85 = 122.06 : x
  2. Step 2: Convert to fraction form
    180.29/248.85 = 122.06/x
  3. Step 3: Cross multiply
    180.29x = 248.85 × 122.06
  4. Step 4: Simplify right side
    180.29x = 30,375.25
  5. Step 5: Solve for x
    x = 30,375.25/180.29
  6. Step 6: Final answer
    x = 168.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.