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Finding the Fourth Proportional to 26.19, 36.09 and 25.59

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Solution

The fourth proportional to 26.19, 36.09 and 25.59 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.19 : 36.09 = 25.59 : x
  2. Step 2: Convert to fraction form
    26.19/36.09 = 25.59/x
  3. Step 3: Cross multiply
    26.19x = 36.09 × 25.59
  4. Step 4: Simplify right side
    26.19x = 923.54
  5. Step 5: Solve for x
    x = 923.54/26.19
  6. Step 6: Final answer
    x = 35.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.