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Finding the Fourth Proportional to 49.50, 68.33 and 30.09

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Solution

The fourth proportional to 49.50, 68.33 and 30.09 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 68.33 = 30.09 : x
  2. Step 2: Convert to fraction form
    49.50/68.33 = 30.09/x
  3. Step 3: Cross multiply
    49.50x = 68.33 × 30.09
  4. Step 4: Simplify right side
    49.50x = 2,056.21
  5. Step 5: Solve for x
    x = 2,056.21/49.50
  6. Step 6: Final answer
    x = 41.54

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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.