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Finding the Fourth Proportional to 20.33, 27.91 and 19.71

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Solution

The fourth proportional to 20.33, 27.91 and 19.71 is: 27.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.33 : 27.91 = 19.71 : x
  2. Step 2: Convert to fraction form
    20.33/27.91 = 19.71/x
  3. Step 3: Cross multiply
    20.33x = 27.91 × 19.71
  4. Step 4: Simplify right side
    20.33x = 549.93
  5. Step 5: Solve for x
    x = 549.93/20.33
  6. Step 6: Final answer
    x = 27.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.