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Finding the Fourth Proportional to 330.48, 493.29 and 326.84

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Solution

The fourth proportional to 330.48, 493.29 and 326.84 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 493.29 = 326.84 : x
  2. Step 2: Convert to fraction form
    330.48/493.29 = 326.84/x
  3. Step 3: Cross multiply
    330.48x = 493.29 × 326.84
  4. Step 4: Simplify right side
    330.48x = 161,224.44
  5. Step 5: Solve for x
    x = 161,224.44/330.48
  6. Step 6: Final answer
    x = 487.85

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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.