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Finding the Fourth Proportional to 327.24, 492.80 and 236.57

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Solution

The fourth proportional to 327.24, 492.80 and 236.57 is: 356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 492.80 = 236.57 : x
  2. Step 2: Convert to fraction form
    327.24/492.80 = 236.57/x
  3. Step 3: Cross multiply
    327.24x = 492.80 × 236.57
  4. Step 4: Simplify right side
    327.24x = 116,581.15
  5. Step 5: Solve for x
    x = 116,581.15/327.24
  6. Step 6: Final answer
    x = 356.26

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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.