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Finding the Fourth Proportional to 225.78, 339.28 and 123.14

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Solution

The fourth proportional to 225.78, 339.28 and 123.14 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 339.28 = 123.14 : x
  2. Step 2: Convert to fraction form
    225.78/339.28 = 123.14/x
  3. Step 3: Cross multiply
    225.78x = 339.28 × 123.14
  4. Step 4: Simplify right side
    225.78x = 41,778.94
  5. Step 5: Solve for x
    x = 41,778.94/225.78
  6. Step 6: Final answer
    x = 185.04

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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.