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Finding the Fourth Proportional to 442.59, 663.89 and 134.45

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Solution

The fourth proportional to 442.59, 663.89 and 134.45 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 663.89 = 134.45 : x
  2. Step 2: Convert to fraction form
    442.59/663.89 = 134.45/x
  3. Step 3: Cross multiply
    442.59x = 663.89 × 134.45
  4. Step 4: Simplify right side
    442.59x = 89,256.02
  5. Step 5: Solve for x
    x = 89,256.02/442.59
  6. Step 6: Final answer
    x = 201.67

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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.