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Finding the Fourth Proportional to 206.02, 309.03 and 193.78

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Solution

The fourth proportional to 206.02, 309.03 and 193.78 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.02 : 309.03 = 193.78 : x
  2. Step 2: Convert to fraction form
    206.02/309.03 = 193.78/x
  3. Step 3: Cross multiply
    206.02x = 309.03 × 193.78
  4. Step 4: Simplify right side
    206.02x = 59,883.83
  5. Step 5: Solve for x
    x = 59,883.83/206.02
  6. Step 6: Final answer
    x = 290.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.