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Finding the Fourth Proportional to 206.84, 283.94 and 177.68

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Solution

The fourth proportional to 206.84, 283.94 and 177.68 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.84 : 283.94 = 177.68 : x
  2. Step 2: Convert to fraction form
    206.84/283.94 = 177.68/x
  3. Step 3: Cross multiply
    206.84x = 283.94 × 177.68
  4. Step 4: Simplify right side
    206.84x = 50,448.15
  5. Step 5: Solve for x
    x = 50,448.15/206.84
  6. Step 6: Final answer
    x = 243.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.