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Finding the Fourth Proportional to 330.65, 493.69 and 327.37

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Solution

The fourth proportional to 330.65, 493.69 and 327.37 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.65 : 493.69 = 327.37 : x
  2. Step 2: Convert to fraction form
    330.65/493.69 = 327.37/x
  3. Step 3: Cross multiply
    330.65x = 493.69 × 327.37
  4. Step 4: Simplify right side
    330.65x = 161,617.16
  5. Step 5: Solve for x
    x = 161,617.16/330.65
  6. Step 6: Final answer
    x = 488.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.