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Finding the Fourth Proportional to 756.20, 1,134.38 and 243.08

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Solution

The fourth proportional to 756.20, 1,134.38 and 243.08 is: 364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.20 : 1,134.38 = 243.08 : x
  2. Step 2: Convert to fraction form
    756.20/1,134.38 = 243.08/x
  3. Step 3: Cross multiply
    756.20x = 1,134.38 × 243.08
  4. Step 4: Simplify right side
    756.20x = 275,745.09
  5. Step 5: Solve for x
    x = 275,745.09/756.20
  6. Step 6: Final answer
    x = 364.65

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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.