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Finding the Fourth Proportional to 260.94, 360.36 and 205.68

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Solution

The fourth proportional to 260.94, 360.36 and 205.68 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 360.36 = 205.68 : x
  2. Step 2: Convert to fraction form
    260.94/360.36 = 205.68/x
  3. Step 3: Cross multiply
    260.94x = 360.36 × 205.68
  4. Step 4: Simplify right side
    260.94x = 74,118.84
  5. Step 5: Solve for x
    x = 74,118.84/260.94
  6. Step 6: Final answer
    x = 284.05

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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.