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Finding the Fourth Proportional to 20.12, 29.84 and 19.91

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Solution

The fourth proportional to 20.12, 29.84 and 19.91 is: 29.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.12 : 29.84 = 19.91 : x
  2. Step 2: Convert to fraction form
    20.12/29.84 = 19.91/x
  3. Step 3: Cross multiply
    20.12x = 29.84 × 19.91
  4. Step 4: Simplify right side
    20.12x = 594.09
  5. Step 5: Solve for x
    x = 594.09/20.12
  6. Step 6: Final answer
    x = 29.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.