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Finding the Fourth Proportional to 168.13, 252.33 and 141.40

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Solution

The fourth proportional to 168.13, 252.33 and 141.40 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.13 : 252.33 = 141.40 : x
  2. Step 2: Convert to fraction form
    168.13/252.33 = 141.40/x
  3. Step 3: Cross multiply
    168.13x = 252.33 × 141.40
  4. Step 4: Simplify right side
    168.13x = 35,679.46
  5. Step 5: Solve for x
    x = 35,679.46/168.13
  6. Step 6: Final answer
    x = 212.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.