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Finding the Fourth Proportional to 22.40, 30.84 and 20.90

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Solution

The fourth proportional to 22.40, 30.84 and 20.90 is: 28.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.40 : 30.84 = 20.90 : x
  2. Step 2: Convert to fraction form
    22.40/30.84 = 20.90/x
  3. Step 3: Cross multiply
    22.40x = 30.84 × 20.90
  4. Step 4: Simplify right side
    22.40x = 644.56
  5. Step 5: Solve for x
    x = 644.56/22.40
  6. Step 6: Final answer
    x = 28.77

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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.