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Finding the Fourth Proportional to 335.98, 503.42 and 205.84

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Solution

The fourth proportional to 335.98, 503.42 and 205.84 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.98 : 503.42 = 205.84 : x
  2. Step 2: Convert to fraction form
    335.98/503.42 = 205.84/x
  3. Step 3: Cross multiply
    335.98x = 503.42 × 205.84
  4. Step 4: Simplify right side
    335.98x = 103,623.97
  5. Step 5: Solve for x
    x = 103,623.97/335.98
  6. Step 6: Final answer
    x = 308.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.