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Finding the Fourth Proportional to 25.68, 35.17 and 25.38

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Solution

The fourth proportional to 25.68, 35.17 and 25.38 is: 34.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.68 : 35.17 = 25.38 : x
  2. Step 2: Convert to fraction form
    25.68/35.17 = 25.38/x
  3. Step 3: Cross multiply
    25.68x = 35.17 × 25.38
  4. Step 4: Simplify right side
    25.68x = 892.61
  5. Step 5: Solve for x
    x = 892.61/25.68
  6. Step 6: Final answer
    x = 34.76

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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.