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Finding the Fourth Proportional to 638.07, 957.23 and 205.19

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Solution

The fourth proportional to 638.07, 957.23 and 205.19 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.07 : 957.23 = 205.19 : x
  2. Step 2: Convert to fraction form
    638.07/957.23 = 205.19/x
  3. Step 3: Cross multiply
    638.07x = 957.23 × 205.19
  4. Step 4: Simplify right side
    638.07x = 196,414.02
  5. Step 5: Solve for x
    x = 196,414.02/638.07
  6. Step 6: Final answer
    x = 307.83

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1.5x scale

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.