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Finding the Fourth Proportional to 260.92, 389.51 and 206.26

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Solution

The fourth proportional to 260.92, 389.51 and 206.26 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.92 : 389.51 = 206.26 : x
  2. Step 2: Convert to fraction form
    260.92/389.51 = 206.26/x
  3. Step 3: Cross multiply
    260.92x = 389.51 × 206.26
  4. Step 4: Simplify right side
    260.92x = 80,340.33
  5. Step 5: Solve for x
    x = 80,340.33/260.92
  6. Step 6: Final answer
    x = 307.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.