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Finding the Fourth Proportional to 208.93, 290.63 and 204.97

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Solution

The fourth proportional to 208.93, 290.63 and 204.97 is: 285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.93 : 290.63 = 204.97 : x
  2. Step 2: Convert to fraction form
    208.93/290.63 = 204.97/x
  3. Step 3: Cross multiply
    208.93x = 290.63 × 204.97
  4. Step 4: Simplify right side
    208.93x = 59,570.43
  5. Step 5: Solve for x
    x = 59,570.43/208.93
  6. Step 6: Final answer
    x = 285.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.