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Finding the Fourth Proportional to 260.22, 357.56 and 213.51

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Solution

The fourth proportional to 260.22, 357.56 and 213.51 is: 293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 357.56 = 213.51 : x
  2. Step 2: Convert to fraction form
    260.22/357.56 = 213.51/x
  3. Step 3: Cross multiply
    260.22x = 357.56 × 213.51
  4. Step 4: Simplify right side
    260.22x = 76,341.57
  5. Step 5: Solve for x
    x = 76,341.57/260.22
  6. Step 6: Final answer
    x = 293.37

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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.