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Finding the Fourth Proportional to 755.48, 1,131.86 and 268.22

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Solution

The fourth proportional to 755.48, 1,131.86 and 268.22 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,131.86 = 268.22 : x
  2. Step 2: Convert to fraction form
    755.48/1,131.86 = 268.22/x
  3. Step 3: Cross multiply
    755.48x = 1,131.86 × 268.22
  4. Step 4: Simplify right side
    755.48x = 303,587.49
  5. Step 5: Solve for x
    x = 303,587.49/755.48
  6. Step 6: Final answer
    x = 401.85

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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.