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Finding the Fourth Proportional to 180.54, 249.18 and 161

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Solution

The fourth proportional to 180.54, 249.18 and 161 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.54 : 249.18 = 161 : x
  2. Step 2: Convert to fraction form
    180.54/249.18 = 161/x
  3. Step 3: Cross multiply
    180.54x = 249.18 × 161
  4. Step 4: Simplify right side
    180.54x = 40,117.98
  5. Step 5: Solve for x
    x = 40,117.98/180.54
  6. Step 6: Final answer
    x = 222.21

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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.