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Finding the Fourth Proportional to 327.12, 492.72 and 304.58

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Solution

The fourth proportional to 327.12, 492.72 and 304.58 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 492.72 = 304.58 : x
  2. Step 2: Convert to fraction form
    327.12/492.72 = 304.58/x
  3. Step 3: Cross multiply
    327.12x = 492.72 × 304.58
  4. Step 4: Simplify right side
    327.12x = 150,072.66
  5. Step 5: Solve for x
    x = 150,072.66/327.12
  6. Step 6: Final answer
    x = 458.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.