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Finding the Fourth Proportional to 849.07, 1,273.38 and 263.90

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Solution

The fourth proportional to 849.07, 1,273.38 and 263.90 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.07 : 1,273.38 = 263.90 : x
  2. Step 2: Convert to fraction form
    849.07/1,273.38 = 263.90/x
  3. Step 3: Cross multiply
    849.07x = 1,273.38 × 263.90
  4. Step 4: Simplify right side
    849.07x = 336,044.98
  5. Step 5: Solve for x
    x = 336,044.98/849.07
  6. Step 6: Final answer
    x = 395.78

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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.