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Finding the Fourth Proportional to 206.76, 308.44 and 192.03

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Solution

The fourth proportional to 206.76, 308.44 and 192.03 is: 286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 308.44 = 192.03 : x
  2. Step 2: Convert to fraction form
    206.76/308.44 = 192.03/x
  3. Step 3: Cross multiply
    206.76x = 308.44 × 192.03
  4. Step 4: Simplify right side
    206.76x = 59,228.82
  5. Step 5: Solve for x
    x = 59,228.82/206.76
  6. Step 6: Final answer
    x = 286.46

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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.