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Finding the Fourth Proportional to 482.14, 664.97 and 307.18

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Solution

The fourth proportional to 482.14, 664.97 and 307.18 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 664.97 = 307.18 : x
  2. Step 2: Convert to fraction form
    482.14/664.97 = 307.18/x
  3. Step 3: Cross multiply
    482.14x = 664.97 × 307.18
  4. Step 4: Simplify right side
    482.14x = 204,265.48
  5. Step 5: Solve for x
    x = 204,265.48/482.14
  6. Step 6: Final answer
    x = 423.66

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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.