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Finding the Fourth Proportional to 329.43, 491.74 and 305.00

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Solution

The fourth proportional to 329.43, 491.74 and 305.00 is: 455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.43 : 491.74 = 305.00 : x
  2. Step 2: Convert to fraction form
    329.43/491.74 = 305.00/x
  3. Step 3: Cross multiply
    329.43x = 491.74 × 305.00
  4. Step 4: Simplify right side
    329.43x = 149,978.24
  5. Step 5: Solve for x
    x = 149,978.24/329.43
  6. Step 6: Final answer
    x = 455.27

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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.