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Finding the Fourth Proportional to 6.78, 10.22 and 6.49

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Solution

The fourth proportional to 6.78, 10.22 and 6.49 is: 9.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 10.22 = 6.49 : x
  2. Step 2: Convert to fraction form
    6.78/10.22 = 6.49/x
  3. Step 3: Cross multiply
    6.78x = 10.22 × 6.49
  4. Step 4: Simplify right side
    6.78x = 66.33
  5. Step 5: Solve for x
    x = 66.33/6.78
  6. Step 6: Final answer
    x = 9.78

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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.