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Finding the Fourth Proportional to 327.51, 451.71 and 216.95

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Solution

The fourth proportional to 327.51, 451.71 and 216.95 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 451.71 = 216.95 : x
  2. Step 2: Convert to fraction form
    327.51/451.71 = 216.95/x
  3. Step 3: Cross multiply
    327.51x = 451.71 × 216.95
  4. Step 4: Simplify right side
    327.51x = 97,996.23
  5. Step 5: Solve for x
    x = 97,996.23/327.51
  6. Step 6: Final answer
    x = 299.22

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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.