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Finding the Fourth Proportional to 22.16, 33.23 and 8.64

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Solution

The fourth proportional to 22.16, 33.23 and 8.64 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.16 : 33.23 = 8.64 : x
  2. Step 2: Convert to fraction form
    22.16/33.23 = 8.64/x
  3. Step 3: Cross multiply
    22.16x = 33.23 × 8.64
  4. Step 4: Simplify right side
    22.16x = 287.13
  5. Step 5: Solve for x
    x = 287.13/22.16
  6. Step 6: Final answer
    x = 12.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.