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Finding the Fourth Proportional to 301.05, 415.30 and 194.67

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Solution

The fourth proportional to 301.05, 415.30 and 194.67 is: 268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 415.30 = 194.67 : x
  2. Step 2: Convert to fraction form
    301.05/415.30 = 194.67/x
  3. Step 3: Cross multiply
    301.05x = 415.30 × 194.67
  4. Step 4: Simplify right side
    301.05x = 80,846.45
  5. Step 5: Solve for x
    x = 80,846.45/301.05
  6. Step 6: Final answer
    x = 268.55

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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.