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Finding the Fourth Proportional to 327.84, 490.80 and 230.16

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Solution

The fourth proportional to 327.84, 490.80 and 230.16 is: 344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 490.80 = 230.16 : x
  2. Step 2: Convert to fraction form
    327.84/490.80 = 230.16/x
  3. Step 3: Cross multiply
    327.84x = 490.80 × 230.16
  4. Step 4: Simplify right side
    327.84x = 112,962.53
  5. Step 5: Solve for x
    x = 112,962.53/327.84
  6. Step 6: Final answer
    x = 344.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.