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Finding the Fourth Proportional to 142.83, 213.30 and 113.97

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Solution

The fourth proportional to 142.83, 213.30 and 113.97 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 213.30 = 113.97 : x
  2. Step 2: Convert to fraction form
    142.83/213.30 = 113.97/x
  3. Step 3: Cross multiply
    142.83x = 213.30 × 113.97
  4. Step 4: Simplify right side
    142.83x = 24,310.60
  5. Step 5: Solve for x
    x = 24,310.60/142.83
  6. Step 6: Final answer
    x = 170.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.