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Finding the Fourth Proportional to 638.36, 957.33 and 205.41

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Solution

The fourth proportional to 638.36, 957.33 and 205.41 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.36 : 957.33 = 205.41 : x
  2. Step 2: Convert to fraction form
    638.36/957.33 = 205.41/x
  3. Step 3: Cross multiply
    638.36x = 957.33 × 205.41
  4. Step 4: Simplify right side
    638.36x = 196,645.16
  5. Step 5: Solve for x
    x = 196,645.16/638.36
  6. Step 6: Final answer
    x = 308.05

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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.