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Finding the Fourth Proportional to 168.50, 252.73 and 65.77

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Solution

The fourth proportional to 168.50, 252.73 and 65.77 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 252.73 = 65.77 : x
  2. Step 2: Convert to fraction form
    168.50/252.73 = 65.77/x
  3. Step 3: Cross multiply
    168.50x = 252.73 × 65.77
  4. Step 4: Simplify right side
    168.50x = 16,620.46
  5. Step 5: Solve for x
    x = 16,620.46/168.50
  6. Step 6: Final answer
    x = 98.64

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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.