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Finding the Fourth Proportional to 331.36, 494.21 and 280.36

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Solution

The fourth proportional to 331.36, 494.21 and 280.36 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.36 : 494.21 = 280.36 : x
  2. Step 2: Convert to fraction form
    331.36/494.21 = 280.36/x
  3. Step 3: Cross multiply
    331.36x = 494.21 × 280.36
  4. Step 4: Simplify right side
    331.36x = 138,556.72
  5. Step 5: Solve for x
    x = 138,556.72/331.36
  6. Step 6: Final answer
    x = 418.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.