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Finding the Fourth Proportional to 29.69, 40.97 and 19.97

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Solution

The fourth proportional to 29.69, 40.97 and 19.97 is: 27.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 40.97 = 19.97 : x
  2. Step 2: Convert to fraction form
    29.69/40.97 = 19.97/x
  3. Step 3: Cross multiply
    29.69x = 40.97 × 19.97
  4. Step 4: Simplify right side
    29.69x = 818.17
  5. Step 5: Solve for x
    x = 818.17/29.69
  6. Step 6: Final answer
    x = 27.56

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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.