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Finding the Fourth Proportional to 327.84, 452.54 and 217.35

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Solution

The fourth proportional to 327.84, 452.54 and 217.35 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 452.54 = 217.35 : x
  2. Step 2: Convert to fraction form
    327.84/452.54 = 217.35/x
  3. Step 3: Cross multiply
    327.84x = 452.54 × 217.35
  4. Step 4: Simplify right side
    327.84x = 98,357.35
  5. Step 5: Solve for x
    x = 98,357.35/327.84
  6. Step 6: Final answer
    x = 300.02

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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.