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Finding the Fourth Proportional to 142.82, 197.48 and 136.25

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Solution

The fourth proportional to 142.82, 197.48 and 136.25 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 197.48 = 136.25 : x
  2. Step 2: Convert to fraction form
    142.82/197.48 = 136.25/x
  3. Step 3: Cross multiply
    142.82x = 197.48 × 136.25
  4. Step 4: Simplify right side
    142.82x = 26,905.97
  5. Step 5: Solve for x
    x = 26,905.97/142.82
  6. Step 6: Final answer
    x = 188.39

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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.