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Finding the Fourth Proportional to 638.09, 957.23 and 272.88

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Solution

The fourth proportional to 638.09, 957.23 and 272.88 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.09 : 957.23 = 272.88 : x
  2. Step 2: Convert to fraction form
    638.09/957.23 = 272.88/x
  3. Step 3: Cross multiply
    638.09x = 957.23 × 272.88
  4. Step 4: Simplify right side
    638.09x = 261,204.14
  5. Step 5: Solve for x
    x = 261,204.14/638.09
  6. Step 6: Final answer
    x = 409.36

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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.