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Finding the Fourth Proportional to 260.35, 388.50 and 258.55

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Solution

The fourth proportional to 260.35, 388.50 and 258.55 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.35 : 388.50 = 258.55 : x
  2. Step 2: Convert to fraction form
    260.35/388.50 = 258.55/x
  3. Step 3: Cross multiply
    260.35x = 388.50 × 258.55
  4. Step 4: Simplify right side
    260.35x = 100,446.03
  5. Step 5: Solve for x
    x = 100,446.03/260.35
  6. Step 6: Final answer
    x = 385.81

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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.