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Finding the Fourth Proportional to 180.94, 270.22 and 179.06

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Solution

The fourth proportional to 180.94, 270.22 and 179.06 is: 267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 270.22 = 179.06 : x
  2. Step 2: Convert to fraction form
    180.94/270.22 = 179.06/x
  3. Step 3: Cross multiply
    180.94x = 270.22 × 179.06
  4. Step 4: Simplify right side
    180.94x = 48,385.59
  5. Step 5: Solve for x
    x = 48,385.59/180.94
  6. Step 6: Final answer
    x = 267.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.