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Finding the Fourth Proportional to 482.25, 664.84 and 398.18

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Solution

The fourth proportional to 482.25, 664.84 and 398.18 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 664.84 = 398.18 : x
  2. Step 2: Convert to fraction form
    482.25/664.84 = 398.18/x
  3. Step 3: Cross multiply
    482.25x = 664.84 × 398.18
  4. Step 4: Simplify right side
    482.25x = 264,728.15
  5. Step 5: Solve for x
    x = 264,728.15/482.25
  6. Step 6: Final answer
    x = 548.94

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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.