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Finding the Fourth Proportional to 329.44, 491.52 and 305.14

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Solution

The fourth proportional to 329.44, 491.52 and 305.14 is: 455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 491.52 = 305.14 : x
  2. Step 2: Convert to fraction form
    329.44/491.52 = 305.14/x
  3. Step 3: Cross multiply
    329.44x = 491.52 × 305.14
  4. Step 4: Simplify right side
    329.44x = 149,982.41
  5. Step 5: Solve for x
    x = 149,982.41/329.44
  6. Step 6: Final answer
    x = 455.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.