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Finding the Fourth Proportional to 206.56, 307.94 and 189.28

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Solution

The fourth proportional to 206.56, 307.94 and 189.28 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 307.94 = 189.28 : x
  2. Step 2: Convert to fraction form
    206.56/307.94 = 189.28/x
  3. Step 3: Cross multiply
    206.56x = 307.94 × 189.28
  4. Step 4: Simplify right side
    206.56x = 58,286.88
  5. Step 5: Solve for x
    x = 58,286.88/206.56
  6. Step 6: Final answer
    x = 282.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.