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Finding the Fourth Proportional to 449.14, 620.20 and 309.22

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Solution

The fourth proportional to 449.14, 620.20 and 309.22 is: 426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 620.20 = 309.22 : x
  2. Step 2: Convert to fraction form
    449.14/620.20 = 309.22/x
  3. Step 3: Cross multiply
    449.14x = 620.20 × 309.22
  4. Step 4: Simplify right side
    449.14x = 191,778.24
  5. Step 5: Solve for x
    x = 191,778.24/449.14
  6. Step 6: Final answer
    x = 426.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.