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Finding the Fourth Proportional to 208.22, 287.39 and 142.75

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Solution

The fourth proportional to 208.22, 287.39 and 142.75 is: 197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 287.39 = 142.75 : x
  2. Step 2: Convert to fraction form
    208.22/287.39 = 142.75/x
  3. Step 3: Cross multiply
    208.22x = 287.39 × 142.75
  4. Step 4: Simplify right side
    208.22x = 41,024.92
  5. Step 5: Solve for x
    x = 41,024.92/208.22
  6. Step 6: Final answer
    x = 197.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.