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Finding the Fourth Proportional to 49.25, 67.94 and 30.83

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Solution

The fourth proportional to 49.25, 67.94 and 30.83 is: 42.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.25 : 67.94 = 30.83 : x
  2. Step 2: Convert to fraction form
    49.25/67.94 = 30.83/x
  3. Step 3: Cross multiply
    49.25x = 67.94 × 30.83
  4. Step 4: Simplify right side
    49.25x = 2,094.10
  5. Step 5: Solve for x
    x = 2,094.10/49.25
  6. Step 6: Final answer
    x = 42.52

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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.