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Finding the Fourth Proportional to 329.44, 454.98 and 287.80

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Solution

The fourth proportional to 329.44, 454.98 and 287.80 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 454.98 = 287.80 : x
  2. Step 2: Convert to fraction form
    329.44/454.98 = 287.80/x
  3. Step 3: Cross multiply
    329.44x = 454.98 × 287.80
  4. Step 4: Simplify right side
    329.44x = 130,943.24
  5. Step 5: Solve for x
    x = 130,943.24/329.44
  6. Step 6: Final answer
    x = 397.47

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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.