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Finding the Fourth Proportional to 180.90, 248.27 and 173.22

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Solution

The fourth proportional to 180.90, 248.27 and 173.22 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 248.27 = 173.22 : x
  2. Step 2: Convert to fraction form
    180.90/248.27 = 173.22/x
  3. Step 3: Cross multiply
    180.90x = 248.27 × 173.22
  4. Step 4: Simplify right side
    180.90x = 43,004.46
  5. Step 5: Solve for x
    x = 43,004.46/180.90
  6. Step 6: Final answer
    x = 237.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.