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Finding the Fourth Proportional to 122.83, 168.05 and 122.32

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Solution

The fourth proportional to 122.83, 168.05 and 122.32 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 168.05 = 122.32 : x
  2. Step 2: Convert to fraction form
    122.83/168.05 = 122.32/x
  3. Step 3: Cross multiply
    122.83x = 168.05 × 122.32
  4. Step 4: Simplify right side
    122.83x = 20,555.88
  5. Step 5: Solve for x
    x = 20,555.88/122.83
  6. Step 6: Final answer
    x = 167.35

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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.