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Finding the Fourth Proportional to 300.30, 453.11 and 290.09

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Solution

The fourth proportional to 300.30, 453.11 and 290.09 is: 437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 453.11 = 290.09 : x
  2. Step 2: Convert to fraction form
    300.30/453.11 = 290.09/x
  3. Step 3: Cross multiply
    300.30x = 453.11 × 290.09
  4. Step 4: Simplify right side
    300.30x = 131,438.96
  5. Step 5: Solve for x
    x = 131,438.96/300.30
  6. Step 6: Final answer
    x = 437.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.