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Finding the Fourth Proportional to 208.33, 311.85 and 131.02

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Solution

The fourth proportional to 208.33, 311.85 and 131.02 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.33 : 311.85 = 131.02 : x
  2. Step 2: Convert to fraction form
    208.33/311.85 = 131.02/x
  3. Step 3: Cross multiply
    208.33x = 311.85 × 131.02
  4. Step 4: Simplify right side
    208.33x = 40,858.59
  5. Step 5: Solve for x
    x = 40,858.59/208.33
  6. Step 6: Final answer
    x = 196.12

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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.