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Finding the Fourth Proportional to 20.20, 30.26 and 12.58

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Solution

The fourth proportional to 20.20, 30.26 and 12.58 is: 18.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.20 : 30.26 = 12.58 : x
  2. Step 2: Convert to fraction form
    20.20/30.26 = 12.58/x
  3. Step 3: Cross multiply
    20.20x = 30.26 × 12.58
  4. Step 4: Simplify right side
    20.20x = 380.67
  5. Step 5: Solve for x
    x = 380.67/20.20
  6. Step 6: Final answer
    x = 18.85

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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.