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Finding the Fourth Proportional to 738.39, 1,107.38 and 276.14

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Solution

The fourth proportional to 738.39, 1,107.38 and 276.14 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.39 : 1,107.38 = 276.14 : x
  2. Step 2: Convert to fraction form
    738.39/1,107.38 = 276.14/x
  3. Step 3: Cross multiply
    738.39x = 1,107.38 × 276.14
  4. Step 4: Simplify right side
    738.39x = 305,795.37
  5. Step 5: Solve for x
    x = 305,795.37/738.39
  6. Step 6: Final answer
    x = 414.14

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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.