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Finding the Fourth Proportional to 9.67, 13.34 and 8.30

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Solution

The fourth proportional to 9.67, 13.34 and 8.30 is: 11.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.67 : 13.34 = 8.30 : x
  2. Step 2: Convert to fraction form
    9.67/13.34 = 8.30/x
  3. Step 3: Cross multiply
    9.67x = 13.34 × 8.30
  4. Step 4: Simplify right side
    9.67x = 110.72
  5. Step 5: Solve for x
    x = 110.72/9.67
  6. Step 6: Final answer
    x = 11.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.