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Finding the Fourth Proportional to 168.64, 232.81 and 113.47

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Solution

The fourth proportional to 168.64, 232.81 and 113.47 is: 156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 232.81 = 113.47 : x
  2. Step 2: Convert to fraction form
    168.64/232.81 = 113.47/x
  3. Step 3: Cross multiply
    168.64x = 232.81 × 113.47
  4. Step 4: Simplify right side
    168.64x = 26,416.09
  5. Step 5: Solve for x
    x = 26,416.09/168.64
  6. Step 6: Final answer
    x = 156.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.