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Finding the Fourth Proportional to 180.94, 271.40 and 112.88

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Solution

The fourth proportional to 180.94, 271.40 and 112.88 is: 169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 271.40 = 112.88 : x
  2. Step 2: Convert to fraction form
    180.94/271.40 = 112.88/x
  3. Step 3: Cross multiply
    180.94x = 271.40 × 112.88
  4. Step 4: Simplify right side
    180.94x = 30,635.63
  5. Step 5: Solve for x
    x = 30,635.63/180.94
  6. Step 6: Final answer
    x = 169.31

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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.