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Finding the Fourth Proportional to 29.05, 40.09 and 16.11

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Solution

The fourth proportional to 29.05, 40.09 and 16.11 is: 22.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.05 : 40.09 = 16.11 : x
  2. Step 2: Convert to fraction form
    29.05/40.09 = 16.11/x
  3. Step 3: Cross multiply
    29.05x = 40.09 × 16.11
  4. Step 4: Simplify right side
    29.05x = 645.77
  5. Step 5: Solve for x
    x = 645.77/29.05
  6. Step 6: Final answer
    x = 22.23

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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.