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Finding the Fourth Proportional to 329.96, 453.31 and 295.44

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Solution

The fourth proportional to 329.96, 453.31 and 295.44 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 453.31 = 295.44 : x
  2. Step 2: Convert to fraction form
    329.96/453.31 = 295.44/x
  3. Step 3: Cross multiply
    329.96x = 453.31 × 295.44
  4. Step 4: Simplify right side
    329.96x = 133,925.91
  5. Step 5: Solve for x
    x = 133,925.91/329.96
  6. Step 6: Final answer
    x = 405.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.