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Finding the Fourth Proportional to 25.56, 38.52 and 20.25

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Solution

The fourth proportional to 25.56, 38.52 and 20.25 is: 30.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.56 : 38.52 = 20.25 : x
  2. Step 2: Convert to fraction form
    25.56/38.52 = 20.25/x
  3. Step 3: Cross multiply
    25.56x = 38.52 × 20.25
  4. Step 4: Simplify right side
    25.56x = 780.03
  5. Step 5: Solve for x
    x = 780.03/25.56
  6. Step 6: Final answer
    x = 30.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.