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Finding the Fourth Proportional to 122.56, 182.23 and 121.34

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Solution

The fourth proportional to 122.56, 182.23 and 121.34 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 182.23 = 121.34 : x
  2. Step 2: Convert to fraction form
    122.56/182.23 = 121.34/x
  3. Step 3: Cross multiply
    122.56x = 182.23 × 121.34
  4. Step 4: Simplify right side
    122.56x = 22,111.18
  5. Step 5: Solve for x
    x = 22,111.18/122.56
  6. Step 6: Final answer
    x = 180.41

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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.