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Finding the Fourth Proportional to 299.89, 450.14 and 202.08

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Solution

The fourth proportional to 299.89, 450.14 and 202.08 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.89 : 450.14 = 202.08 : x
  2. Step 2: Convert to fraction form
    299.89/450.14 = 202.08/x
  3. Step 3: Cross multiply
    299.89x = 450.14 × 202.08
  4. Step 4: Simplify right side
    299.89x = 90,964.29
  5. Step 5: Solve for x
    x = 90,964.29/299.89
  6. Step 6: Final answer
    x = 303.33

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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.