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Finding the Fourth Proportional to 754.36, 1,131.50 and 206.56

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Solution

The fourth proportional to 754.36, 1,131.50 and 206.56 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,131.50 = 206.56 : x
  2. Step 2: Convert to fraction form
    754.36/1,131.50 = 206.56/x
  3. Step 3: Cross multiply
    754.36x = 1,131.50 × 206.56
  4. Step 4: Simplify right side
    754.36x = 233,722.64
  5. Step 5: Solve for x
    x = 233,722.64/754.36
  6. Step 6: Final answer
    x = 309.83

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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.