Home / 758.28-1,137.36-271.20

Finding the Fourth Proportional to 758.28, 1,137.36 and 271.20

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Solution

The fourth proportional to 758.28, 1,137.36 and 271.20 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.28 : 1,137.36 = 271.20 : x
  2. Step 2: Convert to fraction form
    758.28/1,137.36 = 271.20/x
  3. Step 3: Cross multiply
    758.28x = 1,137.36 × 271.20
  4. Step 4: Simplify right side
    758.28x = 308,452.03
  5. Step 5: Solve for x
    x = 308,452.03/758.28
  6. Step 6: Final answer
    x = 406.78

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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.