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Finding the Fourth Proportional to 377.94, 564.48 and 323.28

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Solution

The fourth proportional to 377.94, 564.48 and 323.28 is: 482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 564.48 = 323.28 : x
  2. Step 2: Convert to fraction form
    377.94/564.48 = 323.28/x
  3. Step 3: Cross multiply
    377.94x = 564.48 × 323.28
  4. Step 4: Simplify right side
    377.94x = 182,485.09
  5. Step 5: Solve for x
    x = 182,485.09/377.94
  6. Step 6: Final answer
    x = 482.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.