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Finding the Fourth Proportional to 229.76, 346.13 and 218.44

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Solution

The fourth proportional to 229.76, 346.13 and 218.44 is: 329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 346.13 = 218.44 : x
  2. Step 2: Convert to fraction form
    229.76/346.13 = 218.44/x
  3. Step 3: Cross multiply
    229.76x = 346.13 × 218.44
  4. Step 4: Simplify right side
    229.76x = 75,608.64
  5. Step 5: Solve for x
    x = 75,608.64/229.76
  6. Step 6: Final answer
    x = 329.08

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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.