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Finding the Fourth Proportional to 26.19, 35.98 and 22.09

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Solution

The fourth proportional to 26.19, 35.98 and 22.09 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.19 : 35.98 = 22.09 : x
  2. Step 2: Convert to fraction form
    26.19/35.98 = 22.09/x
  3. Step 3: Cross multiply
    26.19x = 35.98 × 22.09
  4. Step 4: Simplify right side
    26.19x = 794.72
  5. Step 5: Solve for x
    x = 794.72/26.19
  6. Step 6: Final answer
    x = 30.34

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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.