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Finding the Fourth Proportional to 142.25, 212.84 and 84.49

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Solution

The fourth proportional to 142.25, 212.84 and 84.49 is: 126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.25 : 212.84 = 84.49 : x
  2. Step 2: Convert to fraction form
    142.25/212.84 = 84.49/x
  3. Step 3: Cross multiply
    142.25x = 212.84 × 84.49
  4. Step 4: Simplify right side
    142.25x = 17,982.85
  5. Step 5: Solve for x
    x = 17,982.85/142.25
  6. Step 6: Final answer
    x = 126.42

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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.