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Finding the Fourth Proportional to 759, 1,138.38 and 211.04

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Solution

The fourth proportional to 759, 1,138.38 and 211.04 is: 316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 1,138.38 = 211.04 : x
  2. Step 2: Convert to fraction form
    759/1,138.38 = 211.04/x
  3. Step 3: Cross multiply
    759x = 1,138.38 × 211.04
  4. Step 4: Simplify right side
    759x = 240,243.72
  5. Step 5: Solve for x
    x = 240,243.72/759
  6. Step 6: Final answer
    x = 316.53

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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.