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Finding the Fourth Proportional to 482.50, 664.62 and 334.80

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Solution

The fourth proportional to 482.50, 664.62 and 334.80 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.50 : 664.62 = 334.80 : x
  2. Step 2: Convert to fraction form
    482.50/664.62 = 334.80/x
  3. Step 3: Cross multiply
    482.50x = 664.62 × 334.80
  4. Step 4: Simplify right side
    482.50x = 222,514.78
  5. Step 5: Solve for x
    x = 222,514.78/482.50
  6. Step 6: Final answer
    x = 461.17

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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.