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Finding the Fourth Proportional to 302.31, 453.81 and 199.38

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Solution

The fourth proportional to 302.31, 453.81 and 199.38 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.31 : 453.81 = 199.38 : x
  2. Step 2: Convert to fraction form
    302.31/453.81 = 199.38/x
  3. Step 3: Cross multiply
    302.31x = 453.81 × 199.38
  4. Step 4: Simplify right side
    302.31x = 90,480.64
  5. Step 5: Solve for x
    x = 90,480.64/302.31
  6. Step 6: Final answer
    x = 299.30

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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.