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Finding the Fourth Proportional to 22.70, 33.98 and 20.90

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Solution

The fourth proportional to 22.70, 33.98 and 20.90 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 33.98 = 20.90 : x
  2. Step 2: Convert to fraction form
    22.70/33.98 = 20.90/x
  3. Step 3: Cross multiply
    22.70x = 33.98 × 20.90
  4. Step 4: Simplify right side
    22.70x = 710.24
  5. Step 5: Solve for x
    x = 710.24/22.70
  6. Step 6: Final answer
    x = 31.29

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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.