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Finding the Fourth Proportional to 180.09, 248.67 and 121.13

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Solution

The fourth proportional to 180.09, 248.67 and 121.13 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 248.67 = 121.13 : x
  2. Step 2: Convert to fraction form
    180.09/248.67 = 121.13/x
  3. Step 3: Cross multiply
    180.09x = 248.67 × 121.13
  4. Step 4: Simplify right side
    180.09x = 30,120.15
  5. Step 5: Solve for x
    x = 30,120.15/180.09
  6. Step 6: Final answer
    x = 167.25

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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.