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Finding the Fourth Proportional to 22.28, 30.57 and 20.84

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Solution

The fourth proportional to 22.28, 30.57 and 20.84 is: 28.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.28 : 30.57 = 20.84 : x
  2. Step 2: Convert to fraction form
    22.28/30.57 = 20.84/x
  3. Step 3: Cross multiply
    22.28x = 30.57 × 20.84
  4. Step 4: Simplify right side
    22.28x = 637.08
  5. Step 5: Solve for x
    x = 637.08/22.28
  6. Step 6: Final answer
    x = 28.59

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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.