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Finding the Fourth Proportional to 18.98, 28.49 and 13.64

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Solution

The fourth proportional to 18.98, 28.49 and 13.64 is: 20.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.98 : 28.49 = 13.64 : x
  2. Step 2: Convert to fraction form
    18.98/28.49 = 13.64/x
  3. Step 3: Cross multiply
    18.98x = 28.49 × 13.64
  4. Step 4: Simplify right side
    18.98x = 388.60
  5. Step 5: Solve for x
    x = 388.60/18.98
  6. Step 6: Final answer
    x = 20.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.