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Finding the Fourth Proportional to 299.28, 411.96 and 257.97

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Solution

The fourth proportional to 299.28, 411.96 and 257.97 is: 355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 411.96 = 257.97 : x
  2. Step 2: Convert to fraction form
    299.28/411.96 = 257.97/x
  3. Step 3: Cross multiply
    299.28x = 411.96 × 257.97
  4. Step 4: Simplify right side
    299.28x = 106,271.26
  5. Step 5: Solve for x
    x = 106,271.26/299.28
  6. Step 6: Final answer
    x = 355.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.