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Finding the Fourth Proportional to 206.10, 309.08 and 69.12

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Solution

The fourth proportional to 206.10, 309.08 and 69.12 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 309.08 = 69.12 : x
  2. Step 2: Convert to fraction form
    206.10/309.08 = 69.12/x
  3. Step 3: Cross multiply
    206.10x = 309.08 × 69.12
  4. Step 4: Simplify right side
    206.10x = 21,363.78
  5. Step 5: Solve for x
    x = 21,363.78/206.10
  6. Step 6: Final answer
    x = 103.66

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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.