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Finding the Fourth Proportional to 449.65, 673.98 and 189.79

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Solution

The fourth proportional to 449.65, 673.98 and 189.79 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.65 : 673.98 = 189.79 : x
  2. Step 2: Convert to fraction form
    449.65/673.98 = 189.79/x
  3. Step 3: Cross multiply
    449.65x = 673.98 × 189.79
  4. Step 4: Simplify right side
    449.65x = 127,914.66
  5. Step 5: Solve for x
    x = 127,914.66/449.65
  6. Step 6: Final answer
    x = 284.48

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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.