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Finding the Fourth Proportional to 300.72, 450.16 and 197.80

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Solution

The fourth proportional to 300.72, 450.16 and 197.80 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 450.16 = 197.80 : x
  2. Step 2: Convert to fraction form
    300.72/450.16 = 197.80/x
  3. Step 3: Cross multiply
    300.72x = 450.16 × 197.80
  4. Step 4: Simplify right side
    300.72x = 89,041.65
  5. Step 5: Solve for x
    x = 89,041.65/300.72
  6. Step 6: Final answer
    x = 296.09

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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.