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Finding the Fourth Proportional to 426.17, 639.07 and 133.60

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Solution

The fourth proportional to 426.17, 639.07 and 133.60 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.17 : 639.07 = 133.60 : x
  2. Step 2: Convert to fraction form
    426.17/639.07 = 133.60/x
  3. Step 3: Cross multiply
    426.17x = 639.07 × 133.60
  4. Step 4: Simplify right side
    426.17x = 85,379.75
  5. Step 5: Solve for x
    x = 85,379.75/426.17
  6. Step 6: Final answer
    x = 200.34

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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.