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Finding the Fourth Proportional to 206.21, 309.08 and 96.39

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Solution

The fourth proportional to 206.21, 309.08 and 96.39 is: 144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 309.08 = 96.39 : x
  2. Step 2: Convert to fraction form
    206.21/309.08 = 96.39/x
  3. Step 3: Cross multiply
    206.21x = 309.08 × 96.39
  4. Step 4: Simplify right side
    206.21x = 29,792.06
  5. Step 5: Solve for x
    x = 29,792.06/206.21
  6. Step 6: Final answer
    x = 144.48

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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.