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Finding the Fourth Proportional to 122.68, 182.87 and 112.96

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Solution

The fourth proportional to 122.68, 182.87 and 112.96 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.68 : 182.87 = 112.96 : x
  2. Step 2: Convert to fraction form
    122.68/182.87 = 112.96/x
  3. Step 3: Cross multiply
    122.68x = 182.87 × 112.96
  4. Step 4: Simplify right side
    122.68x = 20,657.00
  5. Step 5: Solve for x
    x = 20,657.00/122.68
  6. Step 6: Final answer
    x = 168.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.