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Finding the Fourth Proportional to 330.37, 498.16 and 324.20

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Solution

The fourth proportional to 330.37, 498.16 and 324.20 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.37 : 498.16 = 324.20 : x
  2. Step 2: Convert to fraction form
    330.37/498.16 = 324.20/x
  3. Step 3: Cross multiply
    330.37x = 498.16 × 324.20
  4. Step 4: Simplify right side
    330.37x = 161,505.12
  5. Step 5: Solve for x
    x = 161,505.12/330.37
  6. Step 6: Final answer
    x = 488.87

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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.