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Finding the Fourth Proportional to 205.83, 307.09 and 196.03

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Solution

The fourth proportional to 205.83, 307.09 and 196.03 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 307.09 = 196.03 : x
  2. Step 2: Convert to fraction form
    205.83/307.09 = 196.03/x
  3. Step 3: Cross multiply
    205.83x = 307.09 × 196.03
  4. Step 4: Simplify right side
    205.83x = 60,199.91
  5. Step 5: Solve for x
    x = 60,199.91/205.83
  6. Step 6: Final answer
    x = 292.48

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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.