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Finding the Fourth Proportional to 344.66, 519.41 and 324.14

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Solution

The fourth proportional to 344.66, 519.41 and 324.14 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.66 : 519.41 = 324.14 : x
  2. Step 2: Convert to fraction form
    344.66/519.41 = 324.14/x
  3. Step 3: Cross multiply
    344.66x = 519.41 × 324.14
  4. Step 4: Simplify right side
    344.66x = 168,359.77
  5. Step 5: Solve for x
    x = 168,359.77/344.66
  6. Step 6: Final answer
    x = 488.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.