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Finding the Fourth Proportional to 334.68, 462.02 and 218.30

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Solution

The fourth proportional to 334.68, 462.02 and 218.30 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 462.02 = 218.30 : x
  2. Step 2: Convert to fraction form
    334.68/462.02 = 218.30/x
  3. Step 3: Cross multiply
    334.68x = 462.02 × 218.30
  4. Step 4: Simplify right side
    334.68x = 100,858.97
  5. Step 5: Solve for x
    x = 100,858.97/334.68
  6. Step 6: Final answer
    x = 301.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.