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Finding the Fourth Proportional to 20.75, 28.46 and 18.32

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Solution

The fourth proportional to 20.75, 28.46 and 18.32 is: 25.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 28.46 = 18.32 : x
  2. Step 2: Convert to fraction form
    20.75/28.46 = 18.32/x
  3. Step 3: Cross multiply
    20.75x = 28.46 × 18.32
  4. Step 4: Simplify right side
    20.75x = 521.39
  5. Step 5: Solve for x
    x = 521.39/20.75
  6. Step 6: Final answer
    x = 25.13

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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.