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Finding the Fourth Proportional to 25.92, 38.66 and 22.27

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Solution

The fourth proportional to 25.92, 38.66 and 22.27 is: 33.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 38.66 = 22.27 : x
  2. Step 2: Convert to fraction form
    25.92/38.66 = 22.27/x
  3. Step 3: Cross multiply
    25.92x = 38.66 × 22.27
  4. Step 4: Simplify right side
    25.92x = 860.84
  5. Step 5: Solve for x
    x = 860.84/25.92
  6. Step 6: Final answer
    x = 33.21

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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.