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Finding the Fourth Proportional to 168.77, 231.64 and 168.77

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Solution

The fourth proportional to 168.77, 231.64 and 168.77 is: 231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.77 : 231.64 = 168.77 : x
  2. Step 2: Convert to fraction form
    168.77/231.64 = 168.77/x
  3. Step 3: Cross multiply
    168.77x = 231.64 × 168.77
  4. Step 4: Simplify right side
    168.77x = 39,094.04
  5. Step 5: Solve for x
    x = 39,094.04/168.77
  6. Step 6: Final answer
    x = 231.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.