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Finding the Fourth Proportional to 300.19, 450.28 and 202.85

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Solution

The fourth proportional to 300.19, 450.28 and 202.85 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 450.28 = 202.85 : x
  2. Step 2: Convert to fraction form
    300.19/450.28 = 202.85/x
  3. Step 3: Cross multiply
    300.19x = 450.28 × 202.85
  4. Step 4: Simplify right side
    300.19x = 91,338.28
  5. Step 5: Solve for x
    x = 91,338.28/300.19
  6. Step 6: Final answer
    x = 304.27

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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.