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Finding the Fourth Proportional to 260.82, 393.18 and 243.21

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Solution

The fourth proportional to 260.82, 393.18 and 243.21 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 393.18 = 243.21 : x
  2. Step 2: Convert to fraction form
    260.82/393.18 = 243.21/x
  3. Step 3: Cross multiply
    260.82x = 393.18 × 243.21
  4. Step 4: Simplify right side
    260.82x = 95,625.31
  5. Step 5: Solve for x
    x = 95,625.31/260.82
  6. Step 6: Final answer
    x = 366.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.