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Finding the Fourth Proportional to 25.96, 35.84 and 16.75

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Solution

The fourth proportional to 25.96, 35.84 and 16.75 is: 23.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.84 = 16.75 : x
  2. Step 2: Convert to fraction form
    25.96/35.84 = 16.75/x
  3. Step 3: Cross multiply
    25.96x = 35.84 × 16.75
  4. Step 4: Simplify right side
    25.96x = 600.41
  5. Step 5: Solve for x
    x = 600.41/25.96
  6. Step 6: Final answer
    x = 23.13

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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.