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Finding the Fourth Proportional to 260.77, 388.99 and 255.91

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Solution

The fourth proportional to 260.77, 388.99 and 255.91 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.77 : 388.99 = 255.91 : x
  2. Step 2: Convert to fraction form
    260.77/388.99 = 255.91/x
  3. Step 3: Cross multiply
    260.77x = 388.99 × 255.91
  4. Step 4: Simplify right side
    260.77x = 99,546.15
  5. Step 5: Solve for x
    x = 99,546.15/260.77
  6. Step 6: Final answer
    x = 381.74

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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.