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Finding the Fourth Proportional to 16.65, 23.01 and 11.82

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Solution

The fourth proportional to 16.65, 23.01 and 11.82 is: 16.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.65 : 23.01 = 11.82 : x
  2. Step 2: Convert to fraction form
    16.65/23.01 = 11.82/x
  3. Step 3: Cross multiply
    16.65x = 23.01 × 11.82
  4. Step 4: Simplify right side
    16.65x = 271.98
  5. Step 5: Solve for x
    x = 271.98/16.65
  6. Step 6: Final answer
    x = 16.34

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Why These Related Problems?

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