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Finding the Fourth Proportional to 36.78, 50.46 and 34.92

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Solution

The fourth proportional to 36.78, 50.46 and 34.92 is: 47.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.78 : 50.46 = 34.92 : x
  2. Step 2: Convert to fraction form
    36.78/50.46 = 34.92/x
  3. Step 3: Cross multiply
    36.78x = 50.46 × 34.92
  4. Step 4: Simplify right side
    36.78x = 1,762.06
  5. Step 5: Solve for x
    x = 1,762.06/36.78
  6. Step 6: Final answer
    x = 47.91

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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.