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Finding the Fourth Proportional to 22.46, 30.74 and 21.76

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Solution

The fourth proportional to 22.46, 30.74 and 21.76 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 30.74 = 21.76 : x
  2. Step 2: Convert to fraction form
    22.46/30.74 = 21.76/x
  3. Step 3: Cross multiply
    22.46x = 30.74 × 21.76
  4. Step 4: Simplify right side
    22.46x = 668.90
  5. Step 5: Solve for x
    x = 668.90/22.46
  6. Step 6: Final answer
    x = 29.78

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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.