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Finding the Fourth Proportional to 325, 449.06 and 255

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Solution

The fourth proportional to 325, 449.06 and 255 is: 352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325 : 449.06 = 255 : x
  2. Step 2: Convert to fraction form
    325/449.06 = 255/x
  3. Step 3: Cross multiply
    325x = 449.06 × 255
  4. Step 4: Simplify right side
    325x = 114,510.30
  5. Step 5: Solve for x
    x = 114,510.30/325
  6. Step 6: Final answer
    x = 352.34

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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.