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Finding the Fourth Proportional to 180.38, 248.74 and 122.06

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Solution

The fourth proportional to 180.38, 248.74 and 122.06 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 248.74 = 122.06 : x
  2. Step 2: Convert to fraction form
    180.38/248.74 = 122.06/x
  3. Step 3: Cross multiply
    180.38x = 248.74 × 122.06
  4. Step 4: Simplify right side
    180.38x = 30,361.52
  5. Step 5: Solve for x
    x = 30,361.52/180.38
  6. Step 6: Final answer
    x = 168.32

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Why These Related Problems?

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