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Finding the Fourth Proportional to 26.05, 35.69 and 25.75

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Solution

The fourth proportional to 26.05, 35.69 and 25.75 is: 35.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.05 : 35.69 = 25.75 : x
  2. Step 2: Convert to fraction form
    26.05/35.69 = 25.75/x
  3. Step 3: Cross multiply
    26.05x = 35.69 × 25.75
  4. Step 4: Simplify right side
    26.05x = 919.02
  5. Step 5: Solve for x
    x = 919.02/26.05
  6. Step 6: Final answer
    x = 35.28

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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.