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Finding the Fourth Proportional to 260.63, 356.83 and 258.12

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Solution

The fourth proportional to 260.63, 356.83 and 258.12 is: 353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 356.83 = 258.12 : x
  2. Step 2: Convert to fraction form
    260.63/356.83 = 258.12/x
  3. Step 3: Cross multiply
    260.63x = 356.83 × 258.12
  4. Step 4: Simplify right side
    260.63x = 92,101.88
  5. Step 5: Solve for x
    x = 92,101.88/260.63
  6. Step 6: Final answer
    x = 353.39

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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.