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Finding the Fourth Proportional to 300.40, 450.24 and 137.92

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Solution

The fourth proportional to 300.40, 450.24 and 137.92 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 450.24 = 137.92 : x
  2. Step 2: Convert to fraction form
    300.40/450.24 = 137.92/x
  3. Step 3: Cross multiply
    300.40x = 450.24 × 137.92
  4. Step 4: Simplify right side
    300.40x = 62,097.10
  5. Step 5: Solve for x
    x = 62,097.10/300.40
  6. Step 6: Final answer
    x = 206.71

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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.