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Finding the Fourth Proportional to 439.78, 606.49 and 282.26

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Solution

The fourth proportional to 439.78, 606.49 and 282.26 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.78 : 606.49 = 282.26 : x
  2. Step 2: Convert to fraction form
    439.78/606.49 = 282.26/x
  3. Step 3: Cross multiply
    439.78x = 606.49 × 282.26
  4. Step 4: Simplify right side
    439.78x = 171,187.87
  5. Step 5: Solve for x
    x = 171,187.87/439.78
  6. Step 6: Final answer
    x = 389.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.