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Finding the Fourth Proportional to 180.09, 248.49 and 117.90

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Solution

The fourth proportional to 180.09, 248.49 and 117.90 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 248.49 = 117.90 : x
  2. Step 2: Convert to fraction form
    180.09/248.49 = 117.90/x
  3. Step 3: Cross multiply
    180.09x = 248.49 × 117.90
  4. Step 4: Simplify right side
    180.09x = 29,296.97
  5. Step 5: Solve for x
    x = 29,296.97/180.09
  6. Step 6: Final answer
    x = 162.68

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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.