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Finding the Fourth Proportional to 23.05, 31.62 and 22.54

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Solution

The fourth proportional to 23.05, 31.62 and 22.54 is: 30.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 31.62 = 22.54 : x
  2. Step 2: Convert to fraction form
    23.05/31.62 = 22.54/x
  3. Step 3: Cross multiply
    23.05x = 31.62 × 22.54
  4. Step 4: Simplify right side
    23.05x = 712.44
  5. Step 5: Solve for x
    x = 712.44/23.05
  6. Step 6: Final answer
    x = 30.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.