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Finding the Fourth Proportional to 12.44, 16.40 and 12.44

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Solution

The fourth proportional to 12.44, 16.40 and 12.44 is: 16.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.44 : 16.40 = 12.44 : x
  2. Step 2: Convert to fraction form
    12.44/16.40 = 12.44/x
  3. Step 3: Cross multiply
    12.44x = 16.40 × 12.44
  4. Step 4: Simplify right side
    12.44x = 204.02
  5. Step 5: Solve for x
    x = 204.02/12.44
  6. Step 6: Final answer
    x = 16.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.