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Finding the Fourth Proportional to 122.40, 182.74 and 108

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Solution

The fourth proportional to 122.40, 182.74 and 108 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 182.74 = 108 : x
  2. Step 2: Convert to fraction form
    122.40/182.74 = 108/x
  3. Step 3: Cross multiply
    122.40x = 182.74 × 108
  4. Step 4: Simplify right side
    122.40x = 19,735.92
  5. Step 5: Solve for x
    x = 19,735.92/122.40
  6. Step 6: Final answer
    x = 161.24

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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.