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Finding the Fourth Proportional to 299.52, 415.08 and 241.92

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Solution

The fourth proportional to 299.52, 415.08 and 241.92 is: 335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 415.08 = 241.92 : x
  2. Step 2: Convert to fraction form
    299.52/415.08 = 241.92/x
  3. Step 3: Cross multiply
    299.52x = 415.08 × 241.92
  4. Step 4: Simplify right side
    299.52x = 100,416.15
  5. Step 5: Solve for x
    x = 100,416.15/299.52
  6. Step 6: Final answer
    x = 335.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.