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Finding the Fourth Proportional to 260.93, 391.38 and 78.31

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Solution

The fourth proportional to 260.93, 391.38 and 78.31 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 391.38 = 78.31 : x
  2. Step 2: Convert to fraction form
    260.93/391.38 = 78.31/x
  3. Step 3: Cross multiply
    260.93x = 391.38 × 78.31
  4. Step 4: Simplify right side
    260.93x = 30,648.58
  5. Step 5: Solve for x
    x = 30,648.58/260.93
  6. Step 6: Final answer
    x = 117.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.