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Finding the Fourth Proportional to 36.22, 53.93 and 35.38

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Solution

The fourth proportional to 36.22, 53.93 and 35.38 is: 52.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 53.93 = 35.38 : x
  2. Step 2: Convert to fraction form
    36.22/53.93 = 35.38/x
  3. Step 3: Cross multiply
    36.22x = 53.93 × 35.38
  4. Step 4: Simplify right side
    36.22x = 1,907.87
  5. Step 5: Solve for x
    x = 1,907.87/36.22
  6. Step 6: Final answer
    x = 52.67

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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.