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Finding the Fourth Proportional to 638.29, 957.44 and 272.98

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Solution

The fourth proportional to 638.29, 957.44 and 272.98 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.29 : 957.44 = 272.98 : x
  2. Step 2: Convert to fraction form
    638.29/957.44 = 272.98/x
  3. Step 3: Cross multiply
    638.29x = 957.44 × 272.98
  4. Step 4: Simplify right side
    638.29x = 261,361.97
  5. Step 5: Solve for x
    x = 261,361.97/638.29
  6. Step 6: Final answer
    x = 409.47

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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.