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Finding the Fourth Proportional to 208.18, 311.98 and 201.94

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Solution

The fourth proportional to 208.18, 311.98 and 201.94 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.18 : 311.98 = 201.94 : x
  2. Step 2: Convert to fraction form
    208.18/311.98 = 201.94/x
  3. Step 3: Cross multiply
    208.18x = 311.98 × 201.94
  4. Step 4: Simplify right side
    208.18x = 63,001.24
  5. Step 5: Solve for x
    x = 63,001.24/208.18
  6. Step 6: Final answer
    x = 302.63

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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.