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Finding the Fourth Proportional to 299.05, 411.68 and 257.36

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Solution

The fourth proportional to 299.05, 411.68 and 257.36 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.05 : 411.68 = 257.36 : x
  2. Step 2: Convert to fraction form
    299.05/411.68 = 257.36/x
  3. Step 3: Cross multiply
    299.05x = 411.68 × 257.36
  4. Step 4: Simplify right side
    299.05x = 105,949.96
  5. Step 5: Solve for x
    x = 105,949.96/299.05
  6. Step 6: Final answer
    x = 354.29

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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.