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Finding the Fourth Proportional to 366.62, 502.74 and 329.66

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Solution

The fourth proportional to 366.62, 502.74 and 329.66 is: 452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.62 : 502.74 = 329.66 : x
  2. Step 2: Convert to fraction form
    366.62/502.74 = 329.66/x
  3. Step 3: Cross multiply
    366.62x = 502.74 × 329.66
  4. Step 4: Simplify right side
    366.62x = 165,730.75
  5. Step 5: Solve for x
    x = 165,730.75/366.62
  6. Step 6: Final answer
    x = 452.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.