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Finding the Fourth Proportional to 22.44, 30.75 and 22.22

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Solution

The fourth proportional to 22.44, 30.75 and 22.22 is: 30.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.44 : 30.75 = 22.22 : x
  2. Step 2: Convert to fraction form
    22.44/30.75 = 22.22/x
  3. Step 3: Cross multiply
    22.44x = 30.75 × 22.22
  4. Step 4: Simplify right side
    22.44x = 683.11
  5. Step 5: Solve for x
    x = 683.11/22.44
  6. Step 6: Final answer
    x = 30.44

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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.