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Finding the Fourth Proportional to 259.68, 389.44 and 122.65

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Solution

The fourth proportional to 259.68, 389.44 and 122.65 is: 183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.68 : 389.44 = 122.65 : x
  2. Step 2: Convert to fraction form
    259.68/389.44 = 122.65/x
  3. Step 3: Cross multiply
    259.68x = 389.44 × 122.65
  4. Step 4: Simplify right side
    259.68x = 47,764.82
  5. Step 5: Solve for x
    x = 47,764.82/259.68
  6. Step 6: Final answer
    x = 183.94

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