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Finding the Fourth Proportional to 36.44, 54.32 and 36.20

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Solution

The fourth proportional to 36.44, 54.32 and 36.20 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.44 : 54.32 = 36.20 : x
  2. Step 2: Convert to fraction form
    36.44/54.32 = 36.20/x
  3. Step 3: Cross multiply
    36.44x = 54.32 × 36.20
  4. Step 4: Simplify right side
    36.44x = 1,966.38
  5. Step 5: Solve for x
    x = 1,966.38/36.44
  6. Step 6: Final answer
    x = 53.96

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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.