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Finding the Fourth Proportional to 22.19, 30.83 and 21.85

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Solution

The fourth proportional to 22.19, 30.83 and 21.85 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.19 : 30.83 = 21.85 : x
  2. Step 2: Convert to fraction form
    22.19/30.83 = 21.85/x
  3. Step 3: Cross multiply
    22.19x = 30.83 × 21.85
  4. Step 4: Simplify right side
    22.19x = 673.45
  5. Step 5: Solve for x
    x = 673.45/22.19
  6. Step 6: Final answer
    x = 30.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.