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Finding the Fourth Proportional to 334.98, 461.61 and 218.34

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Solution

The fourth proportional to 334.98, 461.61 and 218.34 is: 300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 461.61 = 218.34 : x
  2. Step 2: Convert to fraction form
    334.98/461.61 = 218.34/x
  3. Step 3: Cross multiply
    334.98x = 461.61 × 218.34
  4. Step 4: Simplify right side
    334.98x = 100,787.93
  5. Step 5: Solve for x
    x = 100,787.93/334.98
  6. Step 6: Final answer
    x = 300.88

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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.