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Finding the Fourth Proportional to 206.33, 309.56 and 192.56

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Solution

The fourth proportional to 206.33, 309.56 and 192.56 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.33 : 309.56 = 192.56 : x
  2. Step 2: Convert to fraction form
    206.33/309.56 = 192.56/x
  3. Step 3: Cross multiply
    206.33x = 309.56 × 192.56
  4. Step 4: Simplify right side
    206.33x = 59,606.36
  5. Step 5: Solve for x
    x = 59,606.36/206.33
  6. Step 6: Final answer
    x = 288.90

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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.