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Finding the Fourth Proportional to 260.78, 358.85 and 213.09

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Solution

The fourth proportional to 260.78, 358.85 and 213.09 is: 293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 358.85 = 213.09 : x
  2. Step 2: Convert to fraction form
    260.78/358.85 = 213.09/x
  3. Step 3: Cross multiply
    260.78x = 358.85 × 213.09
  4. Step 4: Simplify right side
    260.78x = 76,468.78
  5. Step 5: Solve for x
    x = 76,468.78/260.78
  6. Step 6: Final answer
    x = 293.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.