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Finding the Fourth Proportional to 142.82, 214.12 and 108.80

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Solution

The fourth proportional to 142.82, 214.12 and 108.80 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.12 = 108.80 : x
  2. Step 2: Convert to fraction form
    142.82/214.12 = 108.80/x
  3. Step 3: Cross multiply
    142.82x = 214.12 × 108.80
  4. Step 4: Simplify right side
    142.82x = 23,296.26
  5. Step 5: Solve for x
    x = 23,296.26/142.82
  6. Step 6: Final answer
    x = 163.12

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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.