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Finding the Fourth Proportional to 225.35, 336.34 and 195.94

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Solution

The fourth proportional to 225.35, 336.34 and 195.94 is: 292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.35 : 336.34 = 195.94 : x
  2. Step 2: Convert to fraction form
    225.35/336.34 = 195.94/x
  3. Step 3: Cross multiply
    225.35x = 336.34 × 195.94
  4. Step 4: Simplify right side
    225.35x = 65,902.46
  5. Step 5: Solve for x
    x = 65,902.46/225.35
  6. Step 6: Final answer
    x = 292.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.