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Finding the Fourth Proportional to 482.14, 664.77 and 351.10

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Solution

The fourth proportional to 482.14, 664.77 and 351.10 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 664.77 = 351.10 : x
  2. Step 2: Convert to fraction form
    482.14/664.77 = 351.10/x
  3. Step 3: Cross multiply
    482.14x = 664.77 × 351.10
  4. Step 4: Simplify right side
    482.14x = 233,400.75
  5. Step 5: Solve for x
    x = 233,400.75/482.14
  6. Step 6: Final answer
    x = 484.09

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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.