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Finding the Fourth Proportional to 19.85, 29.91 and 18.05

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Solution

The fourth proportional to 19.85, 29.91 and 18.05 is: 27.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 29.91 = 18.05 : x
  2. Step 2: Convert to fraction form
    19.85/29.91 = 18.05/x
  3. Step 3: Cross multiply
    19.85x = 29.91 × 18.05
  4. Step 4: Simplify right side
    19.85x = 539.73
  5. Step 5: Solve for x
    x = 539.73/19.85
  6. Step 6: Final answer
    x = 27.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.