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Finding the Fourth Proportional to 329.82, 455.16 and 225.10

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Solution

The fourth proportional to 329.82, 455.16 and 225.10 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 455.16 = 225.10 : x
  2. Step 2: Convert to fraction form
    329.82/455.16 = 225.10/x
  3. Step 3: Cross multiply
    329.82x = 455.16 × 225.10
  4. Step 4: Simplify right side
    329.82x = 102,456.52
  5. Step 5: Solve for x
    x = 102,456.52/329.82
  6. Step 6: Final answer
    x = 310.64

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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.