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Finding the Fourth Proportional to 259.85, 359.31 and 248.96

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Solution

The fourth proportional to 259.85, 359.31 and 248.96 is: 344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 359.31 = 248.96 : x
  2. Step 2: Convert to fraction form
    259.85/359.31 = 248.96/x
  3. Step 3: Cross multiply
    259.85x = 359.31 × 248.96
  4. Step 4: Simplify right side
    259.85x = 89,453.82
  5. Step 5: Solve for x
    x = 89,453.82/259.85
  6. Step 6: Final answer
    x = 344.25

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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.