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Finding the Fourth Proportional to 327.42, 454.14 and 316.44

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Solution

The fourth proportional to 327.42, 454.14 and 316.44 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 454.14 = 316.44 : x
  2. Step 2: Convert to fraction form
    327.42/454.14 = 316.44/x
  3. Step 3: Cross multiply
    327.42x = 454.14 × 316.44
  4. Step 4: Simplify right side
    327.42x = 143,708.06
  5. Step 5: Solve for x
    x = 143,708.06/327.42
  6. Step 6: Final answer
    x = 438.91

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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.