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Finding the Fourth Proportional to 22.20, 33.15 and 20.64

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Solution

The fourth proportional to 22.20, 33.15 and 20.64 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.20 : 33.15 = 20.64 : x
  2. Step 2: Convert to fraction form
    22.20/33.15 = 20.64/x
  3. Step 3: Cross multiply
    22.20x = 33.15 × 20.64
  4. Step 4: Simplify right side
    22.20x = 684.22
  5. Step 5: Solve for x
    x = 684.22/22.20
  6. Step 6: Final answer
    x = 30.82

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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.