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Finding the Fourth Proportional to 283.28, 426.41 and 218.63

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Solution

The fourth proportional to 283.28, 426.41 and 218.63 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 426.41 = 218.63 : x
  2. Step 2: Convert to fraction form
    283.28/426.41 = 218.63/x
  3. Step 3: Cross multiply
    283.28x = 426.41 × 218.63
  4. Step 4: Simplify right side
    283.28x = 93,222.79
  5. Step 5: Solve for x
    x = 93,222.79/283.28
  6. Step 6: Final answer
    x = 329.09

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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.