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Finding the Fourth Proportional to 209.97, 290.88 and 204.93

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Solution

The fourth proportional to 209.97, 290.88 and 204.93 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 290.88 = 204.93 : x
  2. Step 2: Convert to fraction form
    209.97/290.88 = 204.93/x
  3. Step 3: Cross multiply
    209.97x = 290.88 × 204.93
  4. Step 4: Simplify right side
    209.97x = 59,610.04
  5. Step 5: Solve for x
    x = 59,610.04/209.97
  6. Step 6: Final answer
    x = 283.90

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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.