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Finding the Fourth Proportional to 464.73, 641.20 and 366.18

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Solution

The fourth proportional to 464.73, 641.20 and 366.18 is: 505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.73 : 641.20 = 366.18 : x
  2. Step 2: Convert to fraction form
    464.73/641.20 = 366.18/x
  3. Step 3: Cross multiply
    464.73x = 641.20 × 366.18
  4. Step 4: Simplify right side
    464.73x = 234,794.62
  5. Step 5: Solve for x
    x = 234,794.62/464.73
  6. Step 6: Final answer
    x = 505.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.