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Finding the Fourth Proportional to 49.45, 68.20 and 33.09

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Solution

The fourth proportional to 49.45, 68.20 and 33.09 is: 45.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 68.20 = 33.09 : x
  2. Step 2: Convert to fraction form
    49.45/68.20 = 33.09/x
  3. Step 3: Cross multiply
    49.45x = 68.20 × 33.09
  4. Step 4: Simplify right side
    49.45x = 2,256.31
  5. Step 5: Solve for x
    x = 2,256.31/49.45
  6. Step 6: Final answer
    x = 45.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.