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Finding the Fourth Proportional to 442.80, 665.82 and 335.04

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Solution

The fourth proportional to 442.80, 665.82 and 335.04 is: 503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 665.82 = 335.04 : x
  2. Step 2: Convert to fraction form
    442.80/665.82 = 335.04/x
  3. Step 3: Cross multiply
    442.80x = 665.82 × 335.04
  4. Step 4: Simplify right side
    442.80x = 223,076.33
  5. Step 5: Solve for x
    x = 223,076.33/442.80
  6. Step 6: Final answer
    x = 503.79

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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.