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Finding the Fourth Proportional to 16.99, 23.61 and 16.81

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Solution

The fourth proportional to 16.99, 23.61 and 16.81 is: 23.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.99 : 23.61 = 16.81 : x
  2. Step 2: Convert to fraction form
    16.99/23.61 = 16.81/x
  3. Step 3: Cross multiply
    16.99x = 23.61 × 16.81
  4. Step 4: Simplify right side
    16.99x = 396.93
  5. Step 5: Solve for x
    x = 396.93/16.99
  6. Step 6: Final answer
    x = 23.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.