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Finding the Fourth Proportional to 123.30, 185.09 and 115.88

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Solution

The fourth proportional to 123.30, 185.09 and 115.88 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.30 : 185.09 = 115.88 : x
  2. Step 2: Convert to fraction form
    123.30/185.09 = 115.88/x
  3. Step 3: Cross multiply
    123.30x = 185.09 × 115.88
  4. Step 4: Simplify right side
    123.30x = 21,446.72
  5. Step 5: Solve for x
    x = 21,446.72/123.30
  6. Step 6: Final answer
    x = 173.94

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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.