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Finding the Fourth Proportional to 22.62, 33.73 and 21.16

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Solution

The fourth proportional to 22.62, 33.73 and 21.16 is: 31.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.62 : 33.73 = 21.16 : x
  2. Step 2: Convert to fraction form
    22.62/33.73 = 21.16/x
  3. Step 3: Cross multiply
    22.62x = 33.73 × 21.16
  4. Step 4: Simplify right side
    22.62x = 713.73
  5. Step 5: Solve for x
    x = 713.73/22.62
  6. Step 6: Final answer
    x = 31.55

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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.