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Finding the Fourth Proportional to 22.21, 33.15 and 19.71

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Solution

The fourth proportional to 22.21, 33.15 and 19.71 is: 29.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.21 : 33.15 = 19.71 : x
  2. Step 2: Convert to fraction form
    22.21/33.15 = 19.71/x
  3. Step 3: Cross multiply
    22.21x = 33.15 × 19.71
  4. Step 4: Simplify right side
    22.21x = 653.18
  5. Step 5: Solve for x
    x = 653.18/22.21
  6. Step 6: Final answer
    x = 29.41

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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.