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Finding the Fourth Proportional to 208.93, 311.61 and 183.41

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Solution

The fourth proportional to 208.93, 311.61 and 183.41 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.93 : 311.61 = 183.41 : x
  2. Step 2: Convert to fraction form
    208.93/311.61 = 183.41/x
  3. Step 3: Cross multiply
    208.93x = 311.61 × 183.41
  4. Step 4: Simplify right side
    208.93x = 57,152.39
  5. Step 5: Solve for x
    x = 57,152.39/208.93
  6. Step 6: Final answer
    x = 273.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.