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Finding the Fourth Proportional to 168.63, 252.91 and 65.83

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Solution

The fourth proportional to 168.63, 252.91 and 65.83 is: 98.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.63 : 252.91 = 65.83 : x
  2. Step 2: Convert to fraction form
    168.63/252.91 = 65.83/x
  3. Step 3: Cross multiply
    168.63x = 252.91 × 65.83
  4. Step 4: Simplify right side
    168.63x = 16,649.07
  5. Step 5: Solve for x
    x = 16,649.07/168.63
  6. Step 6: Final answer
    x = 98.73

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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.