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Finding the Fourth Proportional to 229.85, 346.77 and 218.46

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Solution

The fourth proportional to 229.85, 346.77 and 218.46 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.85 : 346.77 = 218.46 : x
  2. Step 2: Convert to fraction form
    229.85/346.77 = 218.46/x
  3. Step 3: Cross multiply
    229.85x = 346.77 × 218.46
  4. Step 4: Simplify right side
    229.85x = 75,755.37
  5. Step 5: Solve for x
    x = 75,755.37/229.85
  6. Step 6: Final answer
    x = 329.59

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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.