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Finding the Fourth Proportional to 260.82, 393 and 216.18

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Solution

The fourth proportional to 260.82, 393 and 216.18 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 393 = 216.18 : x
  2. Step 2: Convert to fraction form
    260.82/393 = 216.18/x
  3. Step 3: Cross multiply
    260.82x = 393 × 216.18
  4. Step 4: Simplify right side
    260.82x = 84,958.74
  5. Step 5: Solve for x
    x = 84,958.74/260.82
  6. Step 6: Final answer
    x = 325.74

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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.