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Finding the Fourth Proportional to 260.81, 357.92 and 236.19

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Solution

The fourth proportional to 260.81, 357.92 and 236.19 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.81 : 357.92 = 236.19 : x
  2. Step 2: Convert to fraction form
    260.81/357.92 = 236.19/x
  3. Step 3: Cross multiply
    260.81x = 357.92 × 236.19
  4. Step 4: Simplify right side
    260.81x = 84,537.72
  5. Step 5: Solve for x
    x = 84,537.72/260.81
  6. Step 6: Final answer
    x = 324.14

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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.