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Finding the Fourth Proportional to 301.72, 452.46 and 194.20

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Solution

The fourth proportional to 301.72, 452.46 and 194.20 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.72 : 452.46 = 194.20 : x
  2. Step 2: Convert to fraction form
    301.72/452.46 = 194.20/x
  3. Step 3: Cross multiply
    301.72x = 452.46 × 194.20
  4. Step 4: Simplify right side
    301.72x = 87,867.73
  5. Step 5: Solve for x
    x = 87,867.73/301.72
  6. Step 6: Final answer
    x = 291.22

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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.