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Finding the Fourth Proportional to 638.84, 958.39 and 205.99

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Solution

The fourth proportional to 638.84, 958.39 and 205.99 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.84 : 958.39 = 205.99 : x
  2. Step 2: Convert to fraction form
    638.84/958.39 = 205.99/x
  3. Step 3: Cross multiply
    638.84x = 958.39 × 205.99
  4. Step 4: Simplify right side
    638.84x = 197,418.76
  5. Step 5: Solve for x
    x = 197,418.76/638.84
  6. Step 6: Final answer
    x = 309.03

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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.