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Finding the Fourth Proportional to 122.34, 182.40 and 113.22

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Solution

The fourth proportional to 122.34, 182.40 and 113.22 is: 168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 182.40 = 113.22 : x
  2. Step 2: Convert to fraction form
    122.34/182.40 = 113.22/x
  3. Step 3: Cross multiply
    122.34x = 182.40 × 113.22
  4. Step 4: Simplify right side
    122.34x = 20,651.33
  5. Step 5: Solve for x
    x = 20,651.33/122.34
  6. Step 6: Final answer
    x = 168.80

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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.