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Finding the Fourth Proportional to 19.69, 29.36 and 18.54

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Solution

The fourth proportional to 19.69, 29.36 and 18.54 is: 27.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 29.36 = 18.54 : x
  2. Step 2: Convert to fraction form
    19.69/29.36 = 18.54/x
  3. Step 3: Cross multiply
    19.69x = 29.36 × 18.54
  4. Step 4: Simplify right side
    19.69x = 544.24
  5. Step 5: Solve for x
    x = 544.24/19.69
  6. Step 6: Final answer
    x = 27.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.