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Finding the Fourth Proportional to 329.81, 496.67 and 304.70

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Solution

The fourth proportional to 329.81, 496.67 and 304.70 is: 458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 496.67 = 304.70 : x
  2. Step 2: Convert to fraction form
    329.81/496.67 = 304.70/x
  3. Step 3: Cross multiply
    329.81x = 496.67 × 304.70
  4. Step 4: Simplify right side
    329.81x = 151,335.35
  5. Step 5: Solve for x
    x = 151,335.35/329.81
  6. Step 6: Final answer
    x = 458.86

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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.