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Finding the Fourth Proportional to 308.82, 459.26 and 299.09

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Solution

The fourth proportional to 308.82, 459.26 and 299.09 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.82 : 459.26 = 299.09 : x
  2. Step 2: Convert to fraction form
    308.82/459.26 = 299.09/x
  3. Step 3: Cross multiply
    308.82x = 459.26 × 299.09
  4. Step 4: Simplify right side
    308.82x = 137,357.42
  5. Step 5: Solve for x
    x = 137,357.42/308.82
  6. Step 6: Final answer
    x = 444.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.