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Finding the Fourth Proportional to 259.75, 389.06 and 122.59

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Solution

The fourth proportional to 259.75, 389.06 and 122.59 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 389.06 = 122.59 : x
  2. Step 2: Convert to fraction form
    259.75/389.06 = 122.59/x
  3. Step 3: Cross multiply
    259.75x = 389.06 × 122.59
  4. Step 4: Simplify right side
    259.75x = 47,694.87
  5. Step 5: Solve for x
    x = 47,694.87/259.75
  6. Step 6: Final answer
    x = 183.62

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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.