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Finding the Fourth Proportional to 122.56, 182.56 and 120.13

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Solution

The fourth proportional to 122.56, 182.56 and 120.13 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 182.56 = 120.13 : x
  2. Step 2: Convert to fraction form
    122.56/182.56 = 120.13/x
  3. Step 3: Cross multiply
    122.56x = 182.56 × 120.13
  4. Step 4: Simplify right side
    122.56x = 21,930.93
  5. Step 5: Solve for x
    x = 21,930.93/122.56
  6. Step 6: Final answer
    x = 178.94

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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.