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Finding the Fourth Proportional to 22.94, 34.47 and 20.78

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Solution

The fourth proportional to 22.94, 34.47 and 20.78 is: 31.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.94 : 34.47 = 20.78 : x
  2. Step 2: Convert to fraction form
    22.94/34.47 = 20.78/x
  3. Step 3: Cross multiply
    22.94x = 34.47 × 20.78
  4. Step 4: Simplify right side
    22.94x = 716.29
  5. Step 5: Solve for x
    x = 716.29/22.94
  6. Step 6: Final answer
    x = 31.22

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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.