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Finding the Fourth Proportional to 442.72, 664.19 and 211.55

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Solution

The fourth proportional to 442.72, 664.19 and 211.55 is: 317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 664.19 = 211.55 : x
  2. Step 2: Convert to fraction form
    442.72/664.19 = 211.55/x
  3. Step 3: Cross multiply
    442.72x = 664.19 × 211.55
  4. Step 4: Simplify right side
    442.72x = 140,505.81
  5. Step 5: Solve for x
    x = 140,505.81/442.72
  6. Step 6: Final answer
    x = 317.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.