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Finding the Fourth Proportional to 327.66, 451.82 and 253.82

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Solution

The fourth proportional to 327.66, 451.82 and 253.82 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 451.82 = 253.82 : x
  2. Step 2: Convert to fraction form
    327.66/451.82 = 253.82/x
  3. Step 3: Cross multiply
    327.66x = 451.82 × 253.82
  4. Step 4: Simplify right side
    327.66x = 114,680.95
  5. Step 5: Solve for x
    x = 114,680.95/327.66
  6. Step 6: Final answer
    x = 350.00

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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.