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Finding the Fourth Proportional to 327.84, 452.40 and 180.45

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Solution

The fourth proportional to 327.84, 452.40 and 180.45 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 452.40 = 180.45 : x
  2. Step 2: Convert to fraction form
    327.84/452.40 = 180.45/x
  3. Step 3: Cross multiply
    327.84x = 452.40 × 180.45
  4. Step 4: Simplify right side
    327.84x = 81,634.56
  5. Step 5: Solve for x
    x = 81,634.56/327.84
  6. Step 6: Final answer
    x = 249.01

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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.