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Finding the Fourth Proportional to 260.09, 390.41 and 130.05

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Solution

The fourth proportional to 260.09, 390.41 and 130.05 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 390.41 = 130.05 : x
  2. Step 2: Convert to fraction form
    260.09/390.41 = 130.05/x
  3. Step 3: Cross multiply
    260.09x = 390.41 × 130.05
  4. Step 4: Simplify right side
    260.09x = 50,770.87
  5. Step 5: Solve for x
    x = 50,770.87/260.09
  6. Step 6: Final answer
    x = 195.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.