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Finding the Fourth Proportional to 229.97, 346.95 and 218.60

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Solution

The fourth proportional to 229.97, 346.95 and 218.60 is: 329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 346.95 = 218.60 : x
  2. Step 2: Convert to fraction form
    229.97/346.95 = 218.60/x
  3. Step 3: Cross multiply
    229.97x = 346.95 × 218.60
  4. Step 4: Simplify right side
    229.97x = 75,842.84
  5. Step 5: Solve for x
    x = 75,842.84/229.97
  6. Step 6: Final answer
    x = 329.79

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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.