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Finding the Fourth Proportional to 25.96, 35.56 and 25.69

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Solution

The fourth proportional to 25.96, 35.56 and 25.69 is: 35.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.56 = 25.69 : x
  2. Step 2: Convert to fraction form
    25.96/35.56 = 25.69/x
  3. Step 3: Cross multiply
    25.96x = 35.56 × 25.69
  4. Step 4: Simplify right side
    25.96x = 913.54
  5. Step 5: Solve for x
    x = 913.54/25.96
  6. Step 6: Final answer
    x = 35.19

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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.