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Finding the Fourth Proportional to 442.58, 663.95 and 199.22

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Solution

The fourth proportional to 442.58, 663.95 and 199.22 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.58 : 663.95 = 199.22 : x
  2. Step 2: Convert to fraction form
    442.58/663.95 = 199.22/x
  3. Step 3: Cross multiply
    442.58x = 663.95 × 199.22
  4. Step 4: Simplify right side
    442.58x = 132,272.12
  5. Step 5: Solve for x
    x = 132,272.12/442.58
  6. Step 6: Final answer
    x = 298.87

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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.