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Finding the Fourth Proportional to 260.85, 390.47 and 195.49

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Solution

The fourth proportional to 260.85, 390.47 and 195.49 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 390.47 = 195.49 : x
  2. Step 2: Convert to fraction form
    260.85/390.47 = 195.49/x
  3. Step 3: Cross multiply
    260.85x = 390.47 × 195.49
  4. Step 4: Simplify right side
    260.85x = 76,331.03
  5. Step 5: Solve for x
    x = 76,331.03/260.85
  6. Step 6: Final answer
    x = 292.62

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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.