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Finding the Fourth Proportional to 302.38, 453.86 and 199.73

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Solution

The fourth proportional to 302.38, 453.86 and 199.73 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 453.86 = 199.73 : x
  2. Step 2: Convert to fraction form
    302.38/453.86 = 199.73/x
  3. Step 3: Cross multiply
    302.38x = 453.86 × 199.73
  4. Step 4: Simplify right side
    302.38x = 90,649.59
  5. Step 5: Solve for x
    x = 90,649.59/302.38
  6. Step 6: Final answer
    x = 299.79

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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.