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Finding the Fourth Proportional to 260.72, 391.09 and 123.69

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Solution

The fourth proportional to 260.72, 391.09 and 123.69 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 391.09 = 123.69 : x
  2. Step 2: Convert to fraction form
    260.72/391.09 = 123.69/x
  3. Step 3: Cross multiply
    260.72x = 391.09 × 123.69
  4. Step 4: Simplify right side
    260.72x = 48,373.92
  5. Step 5: Solve for x
    x = 48,373.92/260.72
  6. Step 6: Final answer
    x = 185.54

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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.