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Finding the Fourth Proportional to 482.03, 664.96 and 305.21

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Solution

The fourth proportional to 482.03, 664.96 and 305.21 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.03 : 664.96 = 305.21 : x
  2. Step 2: Convert to fraction form
    482.03/664.96 = 305.21/x
  3. Step 3: Cross multiply
    482.03x = 664.96 × 305.21
  4. Step 4: Simplify right side
    482.03x = 202,952.44
  5. Step 5: Solve for x
    x = 202,952.44/482.03
  6. Step 6: Final answer
    x = 421.04

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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.