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Finding the Fourth Proportional to 180.83, 270.80 and 142.22

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Solution

The fourth proportional to 180.83, 270.80 and 142.22 is: 212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 270.80 = 142.22 : x
  2. Step 2: Convert to fraction form
    180.83/270.80 = 142.22/x
  3. Step 3: Cross multiply
    180.83x = 270.80 × 142.22
  4. Step 4: Simplify right side
    180.83x = 38,511.82
  5. Step 5: Solve for x
    x = 38,511.82/180.83
  6. Step 6: Final answer
    x = 212.97

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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.