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Finding the Fourth Proportional to 442.53, 663.62 and 199.22

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Solution

The fourth proportional to 442.53, 663.62 and 199.22 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 663.62 = 199.22 : x
  2. Step 2: Convert to fraction form
    442.53/663.62 = 199.22/x
  3. Step 3: Cross multiply
    442.53x = 663.62 × 199.22
  4. Step 4: Simplify right side
    442.53x = 132,202.06
  5. Step 5: Solve for x
    x = 132,202.06/442.53
  6. Step 6: Final answer
    x = 298.74

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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.