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Finding the Fourth Proportional to 327.96, 455.00 and 316.08

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Solution

The fourth proportional to 327.96, 455.00 and 316.08 is: 438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 455.00 = 316.08 : x
  2. Step 2: Convert to fraction form
    327.96/455.00 = 316.08/x
  3. Step 3: Cross multiply
    327.96x = 455.00 × 316.08
  4. Step 4: Simplify right side
    327.96x = 143,814.82
  5. Step 5: Solve for x
    x = 143,814.82/327.96
  6. Step 6: Final answer
    x = 438.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.