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Finding the Fourth Proportional to 304.11, 453.33 and 286.47

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Solution

The fourth proportional to 304.11, 453.33 and 286.47 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 453.33 = 286.47 : x
  2. Step 2: Convert to fraction form
    304.11/453.33 = 286.47/x
  3. Step 3: Cross multiply
    304.11x = 453.33 × 286.47
  4. Step 4: Simplify right side
    304.11x = 129,865.45
  5. Step 5: Solve for x
    x = 129,865.45/304.11
  6. Step 6: Final answer
    x = 427.03

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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.