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Finding the Fourth Proportional to 335.92, 461.09 and 298.24

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Solution

The fourth proportional to 335.92, 461.09 and 298.24 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.92 : 461.09 = 298.24 : x
  2. Step 2: Convert to fraction form
    335.92/461.09 = 298.24/x
  3. Step 3: Cross multiply
    335.92x = 461.09 × 298.24
  4. Step 4: Simplify right side
    335.92x = 137,515.48
  5. Step 5: Solve for x
    x = 137,515.48/335.92
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.