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Finding the Fourth Proportional to 225.94, 339.15 and 123.43

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Solution

The fourth proportional to 225.94, 339.15 and 123.43 is: 185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 339.15 = 123.43 : x
  2. Step 2: Convert to fraction form
    225.94/339.15 = 123.43/x
  3. Step 3: Cross multiply
    225.94x = 339.15 × 123.43
  4. Step 4: Simplify right side
    225.94x = 41,862.13
  5. Step 5: Solve for x
    x = 41,862.13/225.94
  6. Step 6: Final answer
    x = 185.28

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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.