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Finding the Fourth Proportional to 758.83, 1,138.28 and 211

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Solution

The fourth proportional to 758.83, 1,138.28 and 211 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.83 : 1,138.28 = 211 : x
  2. Step 2: Convert to fraction form
    758.83/1,138.28 = 211/x
  3. Step 3: Cross multiply
    758.83x = 1,138.28 × 211
  4. Step 4: Simplify right side
    758.83x = 240,177.08
  5. Step 5: Solve for x
    x = 240,177.08/758.83
  6. Step 6: Final answer
    x = 316.51

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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.