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Finding the Fourth Proportional to 269, 403.19 and 122.59

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Solution

The fourth proportional to 269, 403.19 and 122.59 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 403.19 = 122.59 : x
  2. Step 2: Convert to fraction form
    269/403.19 = 122.59/x
  3. Step 3: Cross multiply
    269x = 403.19 × 122.59
  4. Step 4: Simplify right side
    269x = 49,427.06
  5. Step 5: Solve for x
    x = 49,427.06/269
  6. Step 6: Final answer
    x = 183.74

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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.