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Finding the Fourth Proportional to 352.73, 487.27 and 255

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Solution

The fourth proportional to 352.73, 487.27 and 255 is: 352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.73 : 487.27 = 255 : x
  2. Step 2: Convert to fraction form
    352.73/487.27 = 255/x
  3. Step 3: Cross multiply
    352.73x = 487.27 × 255
  4. Step 4: Simplify right side
    352.73x = 124,252.58
  5. Step 5: Solve for x
    x = 124,252.58/352.73
  6. Step 6: Final answer
    x = 352.26

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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.