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Finding the Fourth Proportional to 36.56, 54.77 and 27.40

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Solution

The fourth proportional to 36.56, 54.77 and 27.40 is: 41.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.56 : 54.77 = 27.40 : x
  2. Step 2: Convert to fraction form
    36.56/54.77 = 27.40/x
  3. Step 3: Cross multiply
    36.56x = 54.77 × 27.40
  4. Step 4: Simplify right side
    36.56x = 1,500.70
  5. Step 5: Solve for x
    x = 1,500.70/36.56
  6. Step 6: Final answer
    x = 41.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.