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Finding the Fourth Proportional to 260.12, 388.42 and 205.40

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Solution

The fourth proportional to 260.12, 388.42 and 205.40 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 388.42 = 205.40 : x
  2. Step 2: Convert to fraction form
    260.12/388.42 = 205.40/x
  3. Step 3: Cross multiply
    260.12x = 388.42 × 205.40
  4. Step 4: Simplify right side
    260.12x = 79,781.47
  5. Step 5: Solve for x
    x = 79,781.47/260.12
  6. Step 6: Final answer
    x = 306.71

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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.