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Finding the Fourth Proportional to 23.76, 35.82 and 20.28

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Solution

The fourth proportional to 23.76, 35.82 and 20.28 is: 30.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 35.82 = 20.28 : x
  2. Step 2: Convert to fraction form
    23.76/35.82 = 20.28/x
  3. Step 3: Cross multiply
    23.76x = 35.82 × 20.28
  4. Step 4: Simplify right side
    23.76x = 726.43
  5. Step 5: Solve for x
    x = 726.43/23.76
  6. Step 6: Final answer
    x = 30.57

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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.