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Finding the Fourth Proportional to 122.54, 182.57 and 119.81

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Solution

The fourth proportional to 122.54, 182.57 and 119.81 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 182.57 = 119.81 : x
  2. Step 2: Convert to fraction form
    122.54/182.57 = 119.81/x
  3. Step 3: Cross multiply
    122.54x = 182.57 × 119.81
  4. Step 4: Simplify right side
    122.54x = 21,873.57
  5. Step 5: Solve for x
    x = 21,873.57/122.54
  6. Step 6: Final answer
    x = 178.51

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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.