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Finding the Fourth Proportional to 260.96, 393.35 and 257.31

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Solution

The fourth proportional to 260.96, 393.35 and 257.31 is: 387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 393.35 = 257.31 : x
  2. Step 2: Convert to fraction form
    260.96/393.35 = 257.31/x
  3. Step 3: Cross multiply
    260.96x = 393.35 × 257.31
  4. Step 4: Simplify right side
    260.96x = 101,212.89
  5. Step 5: Solve for x
    x = 101,212.89/260.96
  6. Step 6: Final answer
    x = 387.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.