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Finding the Fourth Proportional to 301.83, 453.03 and 193.68

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Solution

The fourth proportional to 301.83, 453.03 and 193.68 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.83 : 453.03 = 193.68 : x
  2. Step 2: Convert to fraction form
    301.83/453.03 = 193.68/x
  3. Step 3: Cross multiply
    301.83x = 453.03 × 193.68
  4. Step 4: Simplify right side
    301.83x = 87,742.85
  5. Step 5: Solve for x
    x = 87,742.85/301.83
  6. Step 6: Final answer
    x = 290.70

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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.