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Finding the Fourth Proportional to 185.34, 255.62 and 123.14

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Solution

The fourth proportional to 185.34, 255.62 and 123.14 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 255.62 = 123.14 : x
  2. Step 2: Convert to fraction form
    185.34/255.62 = 123.14/x
  3. Step 3: Cross multiply
    185.34x = 255.62 × 123.14
  4. Step 4: Simplify right side
    185.34x = 31,477.05
  5. Step 5: Solve for x
    x = 31,477.05/185.34
  6. Step 6: Final answer
    x = 169.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.