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Finding the Fourth Proportional to 208.85, 313.54 and 198.09

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Solution

The fourth proportional to 208.85, 313.54 and 198.09 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 313.54 = 198.09 : x
  2. Step 2: Convert to fraction form
    208.85/313.54 = 198.09/x
  3. Step 3: Cross multiply
    208.85x = 313.54 × 198.09
  4. Step 4: Simplify right side
    208.85x = 62,108.64
  5. Step 5: Solve for x
    x = 62,108.64/208.85
  6. Step 6: Final answer
    x = 297.38

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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.