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Finding the Fourth Proportional to 442.53, 663.90 and 134.42

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Solution

The fourth proportional to 442.53, 663.90 and 134.42 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 663.90 = 134.42 : x
  2. Step 2: Convert to fraction form
    442.53/663.90 = 134.42/x
  3. Step 3: Cross multiply
    442.53x = 663.90 × 134.42
  4. Step 4: Simplify right side
    442.53x = 89,240.10
  5. Step 5: Solve for x
    x = 89,240.10/442.53
  6. Step 6: Final answer
    x = 201.66

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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.