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Finding the Fourth Proportional to 449.09, 673.39 and 295.10

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Solution

The fourth proportional to 449.09, 673.39 and 295.10 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.09 : 673.39 = 295.10 : x
  2. Step 2: Convert to fraction form
    449.09/673.39 = 295.10/x
  3. Step 3: Cross multiply
    449.09x = 673.39 × 295.10
  4. Step 4: Simplify right side
    449.09x = 198,712.55
  5. Step 5: Solve for x
    x = 198,712.55/449.09
  6. Step 6: Final answer
    x = 442.48

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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.