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Finding the Fourth Proportional to 327.78, 454.50 and 319.32

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Solution

The fourth proportional to 327.78, 454.50 and 319.32 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 454.50 = 319.32 : x
  2. Step 2: Convert to fraction form
    327.78/454.50 = 319.32/x
  3. Step 3: Cross multiply
    327.78x = 454.50 × 319.32
  4. Step 4: Simplify right side
    327.78x = 145,130.94
  5. Step 5: Solve for x
    x = 145,130.94/327.78
  6. Step 6: Final answer
    x = 442.77

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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.