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Finding the Fourth Proportional to 22.62, 33.80 and 22.14

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Solution

The fourth proportional to 22.62, 33.80 and 22.14 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.62 : 33.80 = 22.14 : x
  2. Step 2: Convert to fraction form
    22.62/33.80 = 22.14/x
  3. Step 3: Cross multiply
    22.62x = 33.80 × 22.14
  4. Step 4: Simplify right side
    22.62x = 748.22
  5. Step 5: Solve for x
    x = 748.22/22.62
  6. Step 6: Final answer
    x = 33.08

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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.