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Finding the Fourth Proportional to 12.05, 18.17 and 12.05

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Solution

The fourth proportional to 12.05, 18.17 and 12.05 is: 18.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 18.17 = 12.05 : x
  2. Step 2: Convert to fraction form
    12.05/18.17 = 12.05/x
  3. Step 3: Cross multiply
    12.05x = 18.17 × 12.05
  4. Step 4: Simplify right side
    12.05x = 218.98
  5. Step 5: Solve for x
    x = 218.98/12.05
  6. Step 6: Final answer
    x = 18.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.