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Finding the Fourth Proportional to 208.69, 310.88 and 198.16

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Solution

The fourth proportional to 208.69, 310.88 and 198.16 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 310.88 = 198.16 : x
  2. Step 2: Convert to fraction form
    208.69/310.88 = 198.16/x
  3. Step 3: Cross multiply
    208.69x = 310.88 × 198.16
  4. Step 4: Simplify right side
    208.69x = 61,603.98
  5. Step 5: Solve for x
    x = 61,603.98/208.69
  6. Step 6: Final answer
    x = 295.19

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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.