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Finding the Fourth Proportional to 168.34, 252.71 and 95.28

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Solution

The fourth proportional to 168.34, 252.71 and 95.28 is: 143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.34 : 252.71 = 95.28 : x
  2. Step 2: Convert to fraction form
    168.34/252.71 = 95.28/x
  3. Step 3: Cross multiply
    168.34x = 252.71 × 95.28
  4. Step 4: Simplify right side
    168.34x = 24,077.50
  5. Step 5: Solve for x
    x = 24,077.50/168.34
  6. Step 6: Final answer
    x = 143.03

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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.