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Finding the Fourth Proportional to 7.22, 10.90 and 6.82

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Solution

The fourth proportional to 7.22, 10.90 and 6.82 is: 10.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 10.90 = 6.82 : x
  2. Step 2: Convert to fraction form
    7.22/10.90 = 6.82/x
  3. Step 3: Cross multiply
    7.22x = 10.90 × 6.82
  4. Step 4: Simplify right side
    7.22x = 74.25
  5. Step 5: Solve for x
    x = 74.25/7.22
  6. Step 6: Final answer
    x = 10.28

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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.