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Finding the Fourth Proportional to 299.25, 411.99 and 260.42

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Solution

The fourth proportional to 299.25, 411.99 and 260.42 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 411.99 = 260.42 : x
  2. Step 2: Convert to fraction form
    299.25/411.99 = 260.42/x
  3. Step 3: Cross multiply
    299.25x = 411.99 × 260.42
  4. Step 4: Simplify right side
    299.25x = 107,290.44
  5. Step 5: Solve for x
    x = 107,290.44/299.25
  6. Step 6: Final answer
    x = 358.53

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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.