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Finding the Fourth Proportional to 260.12, 389.94 and 89

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Solution

The fourth proportional to 260.12, 389.94 and 89 is: 133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 389.94 = 89 : x
  2. Step 2: Convert to fraction form
    260.12/389.94 = 89/x
  3. Step 3: Cross multiply
    260.12x = 389.94 × 89
  4. Step 4: Simplify right side
    260.12x = 34,704.66
  5. Step 5: Solve for x
    x = 34,704.66/260.12
  6. Step 6: Final answer
    x = 133.42

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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.