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Finding the Fourth Proportional to 269.35, 372.15 and 211.57

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Solution

The fourth proportional to 269.35, 372.15 and 211.57 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.35 : 372.15 = 211.57 : x
  2. Step 2: Convert to fraction form
    269.35/372.15 = 211.57/x
  3. Step 3: Cross multiply
    269.35x = 372.15 × 211.57
  4. Step 4: Simplify right side
    269.35x = 78,735.78
  5. Step 5: Solve for x
    x = 78,735.78/269.35
  6. Step 6: Final answer
    x = 292.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.