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Finding the Fourth Proportional to 205.07, 306.40 and 197.89

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Solution

The fourth proportional to 205.07, 306.40 and 197.89 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 306.40 = 197.89 : x
  2. Step 2: Convert to fraction form
    205.07/306.40 = 197.89/x
  3. Step 3: Cross multiply
    205.07x = 306.40 × 197.89
  4. Step 4: Simplify right side
    205.07x = 60,633.00
  5. Step 5: Solve for x
    x = 60,633.00/205.07
  6. Step 6: Final answer
    x = 295.68

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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.