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Finding the Fourth Proportional to 142.39, 214.31 and 108.33

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Solution

The fourth proportional to 142.39, 214.31 and 108.33 is: 163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.39 : 214.31 = 108.33 : x
  2. Step 2: Convert to fraction form
    142.39/214.31 = 108.33/x
  3. Step 3: Cross multiply
    142.39x = 214.31 × 108.33
  4. Step 4: Simplify right side
    142.39x = 23,216.20
  5. Step 5: Solve for x
    x = 23,216.20/142.39
  6. Step 6: Final answer
    x = 163.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.