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Finding the Fourth Proportional to 142.26, 213.22 and 116.64

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Solution

The fourth proportional to 142.26, 213.22 and 116.64 is: 174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.26 : 213.22 = 116.64 : x
  2. Step 2: Convert to fraction form
    142.26/213.22 = 116.64/x
  3. Step 3: Cross multiply
    142.26x = 213.22 × 116.64
  4. Step 4: Simplify right side
    142.26x = 24,869.98
  5. Step 5: Solve for x
    x = 24,869.98/142.26
  6. Step 6: Final answer
    x = 174.82

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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.