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Finding the Fourth Proportional to 180.97, 271.80 and 112.63

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Solution

The fourth proportional to 180.97, 271.80 and 112.63 is: 169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.97 : 271.80 = 112.63 : x
  2. Step 2: Convert to fraction form
    180.97/271.80 = 112.63/x
  3. Step 3: Cross multiply
    180.97x = 271.80 × 112.63
  4. Step 4: Simplify right side
    180.97x = 30,611.48
  5. Step 5: Solve for x
    x = 30,611.48/180.97
  6. Step 6: Final answer
    x = 169.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.