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Finding the Fourth Proportional to 327.66, 493.43 and 236.99

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Solution

The fourth proportional to 327.66, 493.43 and 236.99 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 493.43 = 236.99 : x
  2. Step 2: Convert to fraction form
    327.66/493.43 = 236.99/x
  3. Step 3: Cross multiply
    327.66x = 493.43 × 236.99
  4. Step 4: Simplify right side
    327.66x = 116,940.02
  5. Step 5: Solve for x
    x = 116,940.02/327.66
  6. Step 6: Final answer
    x = 356.89

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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.