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Finding the Fourth Proportional to 260.70, 357.68 and 238.94

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Solution

The fourth proportional to 260.70, 357.68 and 238.94 is: 327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 357.68 = 238.94 : x
  2. Step 2: Convert to fraction form
    260.70/357.68 = 238.94/x
  3. Step 3: Cross multiply
    260.70x = 357.68 × 238.94
  4. Step 4: Simplify right side
    260.70x = 85,462.86
  5. Step 5: Solve for x
    x = 85,462.86/260.70
  6. Step 6: Final answer
    x = 327.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.