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Finding the Fourth Proportional to 25.50, 34.92 and 25.43

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Solution

The fourth proportional to 25.50, 34.92 and 25.43 is: 34.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.50 : 34.92 = 25.43 : x
  2. Step 2: Convert to fraction form
    25.50/34.92 = 25.43/x
  3. Step 3: Cross multiply
    25.50x = 34.92 × 25.43
  4. Step 4: Simplify right side
    25.50x = 887.84
  5. Step 5: Solve for x
    x = 887.84/25.50
  6. Step 6: Final answer
    x = 34.82

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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.