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Finding the Fourth Proportional to 259.22, 355.38 and 254.61

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Solution

The fourth proportional to 259.22, 355.38 and 254.61 is: 349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 355.38 = 254.61 : x
  2. Step 2: Convert to fraction form
    259.22/355.38 = 254.61/x
  3. Step 3: Cross multiply
    259.22x = 355.38 × 254.61
  4. Step 4: Simplify right side
    259.22x = 90,484.14
  5. Step 5: Solve for x
    x = 90,484.14/259.22
  6. Step 6: Final answer
    x = 349.07

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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.