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Finding the Fourth Proportional to 228.42, 344.66 and 218.43

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Solution

The fourth proportional to 228.42, 344.66 and 218.43 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 344.66 = 218.43 : x
  2. Step 2: Convert to fraction form
    228.42/344.66 = 218.43/x
  3. Step 3: Cross multiply
    228.42x = 344.66 × 218.43
  4. Step 4: Simplify right side
    228.42x = 75,282.99
  5. Step 5: Solve for x
    x = 75,282.99/228.42
  6. Step 6: Final answer
    x = 329.58

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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.