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Finding the Fourth Proportional to 25.41, 38.28 and 20.96

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Solution

The fourth proportional to 25.41, 38.28 and 20.96 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.41 : 38.28 = 20.96 : x
  2. Step 2: Convert to fraction form
    25.41/38.28 = 20.96/x
  3. Step 3: Cross multiply
    25.41x = 38.28 × 20.96
  4. Step 4: Simplify right side
    25.41x = 802.16
  5. Step 5: Solve for x
    x = 802.16/25.41
  6. Step 6: Final answer
    x = 31.57

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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.