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Finding the Fourth Proportional to 168.49, 232.64 and 122.05

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Solution

The fourth proportional to 168.49, 232.64 and 122.05 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 232.64 = 122.05 : x
  2. Step 2: Convert to fraction form
    168.49/232.64 = 122.05/x
  3. Step 3: Cross multiply
    168.49x = 232.64 × 122.05
  4. Step 4: Simplify right side
    168.49x = 28,393.71
  5. Step 5: Solve for x
    x = 28,393.71/168.49
  6. Step 6: Final answer
    x = 168.52

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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.