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Finding the Fourth Proportional to 344.10, 518.62 and 324.26

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Solution

The fourth proportional to 344.10, 518.62 and 324.26 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 518.62 = 324.26 : x
  2. Step 2: Convert to fraction form
    344.10/518.62 = 324.26/x
  3. Step 3: Cross multiply
    344.10x = 518.62 × 324.26
  4. Step 4: Simplify right side
    344.10x = 168,167.72
  5. Step 5: Solve for x
    x = 168,167.72/344.10
  6. Step 6: Final answer
    x = 488.72

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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.