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Finding the Fourth Proportional to 304.58, 453.01 and 300.80

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Solution

The fourth proportional to 304.58, 453.01 and 300.80 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.58 : 453.01 = 300.80 : x
  2. Step 2: Convert to fraction form
    304.58/453.01 = 300.80/x
  3. Step 3: Cross multiply
    304.58x = 453.01 × 300.80
  4. Step 4: Simplify right side
    304.58x = 136,265.41
  5. Step 5: Solve for x
    x = 136,265.41/304.58
  6. Step 6: Final answer
    x = 447.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.