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Finding the Fourth Proportional to 329.61, 455.31 and 298.56

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Solution

The fourth proportional to 329.61, 455.31 and 298.56 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.61 : 455.31 = 298.56 : x
  2. Step 2: Convert to fraction form
    329.61/455.31 = 298.56/x
  3. Step 3: Cross multiply
    329.61x = 455.31 × 298.56
  4. Step 4: Simplify right side
    329.61x = 135,937.35
  5. Step 5: Solve for x
    x = 135,937.35/329.61
  6. Step 6: Final answer
    x = 412.42

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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.