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Finding the Fourth Proportional to 334.35, 461.17 and 222.19

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Solution

The fourth proportional to 334.35, 461.17 and 222.19 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 461.17 = 222.19 : x
  2. Step 2: Convert to fraction form
    334.35/461.17 = 222.19/x
  3. Step 3: Cross multiply
    334.35x = 461.17 × 222.19
  4. Step 4: Simplify right side
    334.35x = 102,467.36
  5. Step 5: Solve for x
    x = 102,467.36/334.35
  6. Step 6: Final answer
    x = 306.47

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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.