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Finding the Fourth Proportional to 330.75, 498.72 and 324.59

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Solution

The fourth proportional to 330.75, 498.72 and 324.59 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 498.72 = 324.59 : x
  2. Step 2: Convert to fraction form
    330.75/498.72 = 324.59/x
  3. Step 3: Cross multiply
    330.75x = 498.72 × 324.59
  4. Step 4: Simplify right side
    330.75x = 161,877.03
  5. Step 5: Solve for x
    x = 161,877.03/330.75
  6. Step 6: Final answer
    x = 489.42

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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.