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Finding the Fourth Proportional to 260.09, 388.44 and 235.66

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Solution

The fourth proportional to 260.09, 388.44 and 235.66 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 388.44 = 235.66 : x
  2. Step 2: Convert to fraction form
    260.09/388.44 = 235.66/x
  3. Step 3: Cross multiply
    260.09x = 388.44 × 235.66
  4. Step 4: Simplify right side
    260.09x = 91,539.77
  5. Step 5: Solve for x
    x = 91,539.77/260.09
  6. Step 6: Final answer
    x = 351.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.