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Finding the Fourth Proportional to 299.94, 412.92 and 258.33

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Solution

The fourth proportional to 299.94, 412.92 and 258.33 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 412.92 = 258.33 : x
  2. Step 2: Convert to fraction form
    299.94/412.92 = 258.33/x
  3. Step 3: Cross multiply
    299.94x = 412.92 × 258.33
  4. Step 4: Simplify right side
    299.94x = 106,669.62
  5. Step 5: Solve for x
    x = 106,669.62/299.94
  6. Step 6: Final answer
    x = 355.64

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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.