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Finding the Fourth Proportional to 36.07, 54.38 and 33.98

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Solution

The fourth proportional to 36.07, 54.38 and 33.98 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 54.38 = 33.98 : x
  2. Step 2: Convert to fraction form
    36.07/54.38 = 33.98/x
  3. Step 3: Cross multiply
    36.07x = 54.38 × 33.98
  4. Step 4: Simplify right side
    36.07x = 1,847.80
  5. Step 5: Solve for x
    x = 1,847.80/36.07
  6. Step 6: Final answer
    x = 51.22

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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.