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Finding the Fourth Proportional to 260.70, 360.12 and 208.62

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Solution

The fourth proportional to 260.70, 360.12 and 208.62 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 360.12 = 208.62 : x
  2. Step 2: Convert to fraction form
    260.70/360.12 = 208.62/x
  3. Step 3: Cross multiply
    260.70x = 360.12 × 208.62
  4. Step 4: Simplify right side
    260.70x = 75,129.00
  5. Step 5: Solve for x
    x = 75,129.00/260.70
  6. Step 6: Final answer
    x = 288.18

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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.