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Finding the Fourth Proportional to 299.81, 448.77 and 208.23

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Solution

The fourth proportional to 299.81, 448.77 and 208.23 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 448.77 = 208.23 : x
  2. Step 2: Convert to fraction form
    299.81/448.77 = 208.23/x
  3. Step 3: Cross multiply
    299.81x = 448.77 × 208.23
  4. Step 4: Simplify right side
    299.81x = 93,446.48
  5. Step 5: Solve for x
    x = 93,446.48/299.81
  6. Step 6: Final answer
    x = 311.69

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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.