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Finding the Fourth Proportional to 34.05, 47.00 and 20.94

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Solution

The fourth proportional to 34.05, 47.00 and 20.94 is: 28.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 47.00 = 20.94 : x
  2. Step 2: Convert to fraction form
    34.05/47.00 = 20.94/x
  3. Step 3: Cross multiply
    34.05x = 47.00 × 20.94
  4. Step 4: Simplify right side
    34.05x = 984.08
  5. Step 5: Solve for x
    x = 984.08/34.05
  6. Step 6: Final answer
    x = 28.90

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Why These Related Problems?

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