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Finding the Fourth Proportional to 20.04, 27.83 and 19.55

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Solution

The fourth proportional to 20.04, 27.83 and 19.55 is: 27.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.04 : 27.83 = 19.55 : x
  2. Step 2: Convert to fraction form
    20.04/27.83 = 19.55/x
  3. Step 3: Cross multiply
    20.04x = 27.83 × 19.55
  4. Step 4: Simplify right side
    20.04x = 543.98
  5. Step 5: Solve for x
    x = 543.98/20.04
  6. Step 6: Final answer
    x = 27.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.