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Finding the Fourth Proportional to 329.84, 455.19 and 226.34

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Solution

The fourth proportional to 329.84, 455.19 and 226.34 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 455.19 = 226.34 : x
  2. Step 2: Convert to fraction form
    329.84/455.19 = 226.34/x
  3. Step 3: Cross multiply
    329.84x = 455.19 × 226.34
  4. Step 4: Simplify right side
    329.84x = 103,027.70
  5. Step 5: Solve for x
    x = 103,027.70/329.84
  6. Step 6: Final answer
    x = 312.36

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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.