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Finding the Fourth Proportional to 223.94, 309.04 and 125.69

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Solution

The fourth proportional to 223.94, 309.04 and 125.69 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.94 : 309.04 = 125.69 : x
  2. Step 2: Convert to fraction form
    223.94/309.04 = 125.69/x
  3. Step 3: Cross multiply
    223.94x = 309.04 × 125.69
  4. Step 4: Simplify right side
    223.94x = 38,843.70
  5. Step 5: Solve for x
    x = 38,843.70/223.94
  6. Step 6: Final answer
    x = 173.46

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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.