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Finding the Fourth Proportional to 329.45, 453.53 and 287.98

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Solution

The fourth proportional to 329.45, 453.53 and 287.98 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.45 : 453.53 = 287.98 : x
  2. Step 2: Convert to fraction form
    329.45/453.53 = 287.98/x
  3. Step 3: Cross multiply
    329.45x = 453.53 × 287.98
  4. Step 4: Simplify right side
    329.45x = 130,607.16
  5. Step 5: Solve for x
    x = 130,607.16/329.45
  6. Step 6: Final answer
    x = 396.45

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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.