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Finding the Fourth Proportional to 20.30, 27.97 and 19.70

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Solution

The fourth proportional to 20.30, 27.97 and 19.70 is: 27.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.30 : 27.97 = 19.70 : x
  2. Step 2: Convert to fraction form
    20.30/27.97 = 19.70/x
  3. Step 3: Cross multiply
    20.30x = 27.97 × 19.70
  4. Step 4: Simplify right side
    20.30x = 550.82
  5. Step 5: Solve for x
    x = 550.82/20.30
  6. Step 6: Final answer
    x = 27.14

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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.