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Finding the Fourth Proportional to 449.02, 620.05 and 338.30

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Solution

The fourth proportional to 449.02, 620.05 and 338.30 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 620.05 = 338.30 : x
  2. Step 2: Convert to fraction form
    449.02/620.05 = 338.30/x
  3. Step 3: Cross multiply
    449.02x = 620.05 × 338.30
  4. Step 4: Simplify right side
    449.02x = 209,764.96
  5. Step 5: Solve for x
    x = 209,764.96/449.02
  6. Step 6: Final answer
    x = 467.16

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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.