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Finding the Fourth Proportional to 449.80, 622.02 and 339.24

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Solution

The fourth proportional to 449.80, 622.02 and 339.24 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 622.02 = 339.24 : x
  2. Step 2: Convert to fraction form
    449.80/622.02 = 339.24/x
  3. Step 3: Cross multiply
    449.80x = 622.02 × 339.24
  4. Step 4: Simplify right side
    449.80x = 211,014.06
  5. Step 5: Solve for x
    x = 211,014.06/449.80
  6. Step 6: Final answer
    x = 469.13

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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.