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Finding the Fourth Proportional to 259.36, 355.14 and 257.56

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Solution

The fourth proportional to 259.36, 355.14 and 257.56 is: 352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 355.14 = 257.56 : x
  2. Step 2: Convert to fraction form
    259.36/355.14 = 257.56/x
  3. Step 3: Cross multiply
    259.36x = 355.14 × 257.56
  4. Step 4: Simplify right side
    259.36x = 91,469.86
  5. Step 5: Solve for x
    x = 91,469.86/259.36
  6. Step 6: Final answer
    x = 352.68

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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.