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Finding the Fourth Proportional to 327.60, 451.84 and 234.16

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Solution

The fourth proportional to 327.60, 451.84 and 234.16 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 451.84 = 234.16 : x
  2. Step 2: Convert to fraction form
    327.60/451.84 = 234.16/x
  3. Step 3: Cross multiply
    327.60x = 451.84 × 234.16
  4. Step 4: Simplify right side
    327.60x = 105,802.85
  5. Step 5: Solve for x
    x = 105,802.85/327.60
  6. Step 6: Final answer
    x = 322.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.