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Finding the Fourth Proportional to 16.45, 22.68 and 9.97

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Solution

The fourth proportional to 16.45, 22.68 and 9.97 is: 13.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 22.68 = 9.97 : x
  2. Step 2: Convert to fraction form
    16.45/22.68 = 9.97/x
  3. Step 3: Cross multiply
    16.45x = 22.68 × 9.97
  4. Step 4: Simplify right side
    16.45x = 226.01
  5. Step 5: Solve for x
    x = 226.01/16.45
  6. Step 6: Final answer
    x = 13.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.