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Finding the Fourth Proportional to 36.40, 49.79 and 36.22

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Solution

The fourth proportional to 36.40, 49.79 and 36.22 is: 49.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.40 : 49.79 = 36.22 : x
  2. Step 2: Convert to fraction form
    36.40/49.79 = 36.22/x
  3. Step 3: Cross multiply
    36.40x = 49.79 × 36.22
  4. Step 4: Simplify right side
    36.40x = 1,803.39
  5. Step 5: Solve for x
    x = 1,803.39/36.40
  6. Step 6: Final answer
    x = 49.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.