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Finding the Fourth Proportional to 304.38, 455.67 and 201.38

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Solution

The fourth proportional to 304.38, 455.67 and 201.38 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 455.67 = 201.38 : x
  2. Step 2: Convert to fraction form
    304.38/455.67 = 201.38/x
  3. Step 3: Cross multiply
    304.38x = 455.67 × 201.38
  4. Step 4: Simplify right side
    304.38x = 91,760.55
  5. Step 5: Solve for x
    x = 91,760.55/304.38
  6. Step 6: Final answer
    x = 301.47

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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.