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Finding the Fourth Proportional to 411.96, 617.70 and 138.03

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Solution

The fourth proportional to 411.96, 617.70 and 138.03 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 617.70 = 138.03 : x
  2. Step 2: Convert to fraction form
    411.96/617.70 = 138.03/x
  3. Step 3: Cross multiply
    411.96x = 617.70 × 138.03
  4. Step 4: Simplify right side
    411.96x = 85,261.13
  5. Step 5: Solve for x
    x = 85,261.13/411.96
  6. Step 6: Final answer
    x = 206.96

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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.