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Finding the Fourth Proportional to 205.38, 306.54 and 199.44

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Solution

The fourth proportional to 205.38, 306.54 and 199.44 is: 297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 306.54 = 199.44 : x
  2. Step 2: Convert to fraction form
    205.38/306.54 = 199.44/x
  3. Step 3: Cross multiply
    205.38x = 306.54 × 199.44
  4. Step 4: Simplify right side
    205.38x = 61,136.34
  5. Step 5: Solve for x
    x = 61,136.34/205.38
  6. Step 6: Final answer
    x = 297.67

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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.