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Finding the Fourth Proportional to 22.77, 34.16 and 8.33

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Solution

The fourth proportional to 22.77, 34.16 and 8.33 is: 12.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.77 : 34.16 = 8.33 : x
  2. Step 2: Convert to fraction form
    22.77/34.16 = 8.33/x
  3. Step 3: Cross multiply
    22.77x = 34.16 × 8.33
  4. Step 4: Simplify right side
    22.77x = 284.34
  5. Step 5: Solve for x
    x = 284.34/22.77
  6. Step 6: Final answer
    x = 12.49

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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.