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Finding the Fourth Proportional to 344.54, 517.07 and 214.73

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Solution

The fourth proportional to 344.54, 517.07 and 214.73 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 517.07 = 214.73 : x
  2. Step 2: Convert to fraction form
    344.54/517.07 = 214.73/x
  3. Step 3: Cross multiply
    344.54x = 517.07 × 214.73
  4. Step 4: Simplify right side
    344.54x = 111,028.72
  5. Step 5: Solve for x
    x = 111,028.72/344.54
  6. Step 6: Final answer
    x = 322.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.