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Finding the Fourth Proportional to 70.38, 105.56 and 22.28

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Solution

The fourth proportional to 70.38, 105.56 and 22.28 is: 33.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 105.56 = 22.28 : x
  2. Step 2: Convert to fraction form
    70.38/105.56 = 22.28/x
  3. Step 3: Cross multiply
    70.38x = 105.56 × 22.28
  4. Step 4: Simplify right side
    70.38x = 2,351.88
  5. Step 5: Solve for x
    x = 2,351.88/70.38
  6. Step 6: Final answer
    x = 33.42

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