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Finding the Fourth Proportional to 225.25, 310.50 and 194

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Solution

The fourth proportional to 225.25, 310.50 and 194 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.25 : 310.50 = 194 : x
  2. Step 2: Convert to fraction form
    225.25/310.50 = 194/x
  3. Step 3: Cross multiply
    225.25x = 310.50 × 194
  4. Step 4: Simplify right side
    225.25x = 60,237
  5. Step 5: Solve for x
    x = 60,237/225.25
  6. Step 6: Final answer
    x = 267.42

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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.