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Finding the Fourth Proportional to 299.80, 448.79 and 202.30

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Solution

The fourth proportional to 299.80, 448.79 and 202.30 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 448.79 = 202.30 : x
  2. Step 2: Convert to fraction form
    299.80/448.79 = 202.30/x
  3. Step 3: Cross multiply
    299.80x = 448.79 × 202.30
  4. Step 4: Simplify right side
    299.80x = 90,789.22
  5. Step 5: Solve for x
    x = 90,789.22/299.80
  6. Step 6: Final answer
    x = 302.83

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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.