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Finding the Fourth Proportional to 20.70, 30.98 and 20.26

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Solution

The fourth proportional to 20.70, 30.98 and 20.26 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.70 : 30.98 = 20.26 : x
  2. Step 2: Convert to fraction form
    20.70/30.98 = 20.26/x
  3. Step 3: Cross multiply
    20.70x = 30.98 × 20.26
  4. Step 4: Simplify right side
    20.70x = 627.65
  5. Step 5: Solve for x
    x = 627.65/20.70
  6. Step 6: Final answer
    x = 30.32

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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.