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Finding the Fourth Proportional to 259.04, 355.90 and 255.08

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Solution

The fourth proportional to 259.04, 355.90 and 255.08 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.04 : 355.90 = 255.08 : x
  2. Step 2: Convert to fraction form
    259.04/355.90 = 255.08/x
  3. Step 3: Cross multiply
    259.04x = 355.90 × 255.08
  4. Step 4: Simplify right side
    259.04x = 90,782.97
  5. Step 5: Solve for x
    x = 90,782.97/259.04
  6. Step 6: Final answer
    x = 350.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.