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Finding the Fourth Proportional to 28.69, 42.94 and 20.96

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Solution

The fourth proportional to 28.69, 42.94 and 20.96 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.69 : 42.94 = 20.96 : x
  2. Step 2: Convert to fraction form
    28.69/42.94 = 20.96/x
  3. Step 3: Cross multiply
    28.69x = 42.94 × 20.96
  4. Step 4: Simplify right side
    28.69x = 899.99
  5. Step 5: Solve for x
    x = 899.99/28.69
  6. Step 6: Final answer
    x = 31.37

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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.