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Finding the Fourth Proportional to 123.09, 183.44 and 115.80

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Solution

The fourth proportional to 123.09, 183.44 and 115.80 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 183.44 = 115.80 : x
  2. Step 2: Convert to fraction form
    123.09/183.44 = 115.80/x
  3. Step 3: Cross multiply
    123.09x = 183.44 × 115.80
  4. Step 4: Simplify right side
    123.09x = 21,241.77
  5. Step 5: Solve for x
    x = 21,241.77/123.09
  6. Step 6: Final answer
    x = 172.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.