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Finding the Fourth Proportional to 356.22, 490.53 and 282.33

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Solution

The fourth proportional to 356.22, 490.53 and 282.33 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 490.53 = 282.33 : x
  2. Step 2: Convert to fraction form
    356.22/490.53 = 282.33/x
  3. Step 3: Cross multiply
    356.22x = 490.53 × 282.33
  4. Step 4: Simplify right side
    356.22x = 138,491.33
  5. Step 5: Solve for x
    x = 138,491.33/356.22
  6. Step 6: Final answer
    x = 388.78

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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.