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Finding the Fourth Proportional to 548.81, 823.19 and 137.94

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Solution

The fourth proportional to 548.81, 823.19 and 137.94 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.81 : 823.19 = 137.94 : x
  2. Step 2: Convert to fraction form
    548.81/823.19 = 137.94/x
  3. Step 3: Cross multiply
    548.81x = 823.19 × 137.94
  4. Step 4: Simplify right side
    548.81x = 113,550.14
  5. Step 5: Solve for x
    x = 113,550.14/548.81
  6. Step 6: Final answer
    x = 206.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.