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Finding the Fourth Proportional to 754.16, 1,131.14 and 206.38

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Solution

The fourth proportional to 754.16, 1,131.14 and 206.38 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.16 : 1,131.14 = 206.38 : x
  2. Step 2: Convert to fraction form
    754.16/1,131.14 = 206.38/x
  3. Step 3: Cross multiply
    754.16x = 1,131.14 × 206.38
  4. Step 4: Simplify right side
    754.16x = 233,442.36
  5. Step 5: Solve for x
    x = 233,442.36/754.16
  6. Step 6: Final answer
    x = 309.54

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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.