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Finding the Fourth Proportional to 260.64, 388.37 and 231.92

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Solution

The fourth proportional to 260.64, 388.37 and 231.92 is: 345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.64 : 388.37 = 231.92 : x
  2. Step 2: Convert to fraction form
    260.64/388.37 = 231.92/x
  3. Step 3: Cross multiply
    260.64x = 388.37 × 231.92
  4. Step 4: Simplify right side
    260.64x = 90,070.77
  5. Step 5: Solve for x
    x = 90,070.77/260.64
  6. Step 6: Final answer
    x = 345.58

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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.