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Finding the Fourth Proportional to 206.57, 309.86 and 84.84

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Solution

The fourth proportional to 206.57, 309.86 and 84.84 is: 127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.86 = 84.84 : x
  2. Step 2: Convert to fraction form
    206.57/309.86 = 84.84/x
  3. Step 3: Cross multiply
    206.57x = 309.86 × 84.84
  4. Step 4: Simplify right side
    206.57x = 26,289.14
  5. Step 5: Solve for x
    x = 26,289.14/206.57
  6. Step 6: Final answer
    x = 127.27

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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.