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Finding the Fourth Proportional to 300.71, 451.58 and 161.80

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Solution

The fourth proportional to 300.71, 451.58 and 161.80 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 451.58 = 161.80 : x
  2. Step 2: Convert to fraction form
    300.71/451.58 = 161.80/x
  3. Step 3: Cross multiply
    300.71x = 451.58 × 161.80
  4. Step 4: Simplify right side
    300.71x = 73,067.59
  5. Step 5: Solve for x
    x = 73,067.59/300.71
  6. Step 6: Final answer
    x = 242.98

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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.