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Finding the Fourth Proportional to 36.31, 49.83 and 35.39

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Solution

The fourth proportional to 36.31, 49.83 and 35.39 is: 48.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.31 : 49.83 = 35.39 : x
  2. Step 2: Convert to fraction form
    36.31/49.83 = 35.39/x
  3. Step 3: Cross multiply
    36.31x = 49.83 × 35.39
  4. Step 4: Simplify right side
    36.31x = 1,763.48
  5. Step 5: Solve for x
    x = 1,763.48/36.31
  6. Step 6: Final answer
    x = 48.57

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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.