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Finding the Fourth Proportional to 442.60, 663.84 and 211.42

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Solution

The fourth proportional to 442.60, 663.84 and 211.42 is: 317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 663.84 = 211.42 : x
  2. Step 2: Convert to fraction form
    442.60/663.84 = 211.42/x
  3. Step 3: Cross multiply
    442.60x = 663.84 × 211.42
  4. Step 4: Simplify right side
    442.60x = 140,349.05
  5. Step 5: Solve for x
    x = 140,349.05/442.60
  6. Step 6: Final answer
    x = 317.10

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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.