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Finding the Fourth Proportional to 411.98, 617.85 and 138.01

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Solution

The fourth proportional to 411.98, 617.85 and 138.01 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 617.85 = 138.01 : x
  2. Step 2: Convert to fraction form
    411.98/617.85 = 138.01/x
  3. Step 3: Cross multiply
    411.98x = 617.85 × 138.01
  4. Step 4: Simplify right side
    411.98x = 85,268.79
  5. Step 5: Solve for x
    x = 85,268.79/411.98
  6. Step 6: Final answer
    x = 206.97

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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.