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Finding the Fourth Proportional to 344.73, 517.35 and 214.92

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Solution

The fourth proportional to 344.73, 517.35 and 214.92 is: 322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.73 : 517.35 = 214.92 : x
  2. Step 2: Convert to fraction form
    344.73/517.35 = 214.92/x
  3. Step 3: Cross multiply
    344.73x = 517.35 × 214.92
  4. Step 4: Simplify right side
    344.73x = 111,187.85
  5. Step 5: Solve for x
    x = 111,187.85/344.73
  6. Step 6: Final answer
    x = 322.54

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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.