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Finding the Fourth Proportional to 22.16, 30.38 and 21.76

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Solution

The fourth proportional to 22.16, 30.38 and 21.76 is: 29.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.16 : 30.38 = 21.76 : x
  2. Step 2: Convert to fraction form
    22.16/30.38 = 21.76/x
  3. Step 3: Cross multiply
    22.16x = 30.38 × 21.76
  4. Step 4: Simplify right side
    22.16x = 660.94
  5. Step 5: Solve for x
    x = 660.94/22.16
  6. Step 6: Final answer
    x = 29.83

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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.