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Finding the Fourth Proportional to 11.98, 16.40 and 11.84

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Solution

The fourth proportional to 11.98, 16.40 and 11.84 is: 16.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 16.40 = 11.84 : x
  2. Step 2: Convert to fraction form
    11.98/16.40 = 11.84/x
  3. Step 3: Cross multiply
    11.98x = 16.40 × 11.84
  4. Step 4: Simplify right side
    11.98x = 194.18
  5. Step 5: Solve for x
    x = 194.18/11.98
  6. Step 6: Final answer
    x = 16.21

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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.