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Finding the Fourth Proportional to 448.87, 673.94 and 229.65

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Solution

The fourth proportional to 448.87, 673.94 and 229.65 is: 344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.87 : 673.94 = 229.65 : x
  2. Step 2: Convert to fraction form
    448.87/673.94 = 229.65/x
  3. Step 3: Cross multiply
    448.87x = 673.94 × 229.65
  4. Step 4: Simplify right side
    448.87x = 154,771.66
  5. Step 5: Solve for x
    x = 154,771.66/448.87
  6. Step 6: Final answer
    x = 344.80

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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.