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Finding the Fourth Proportional to 300.17, 414.12 and 211.78

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Solution

The fourth proportional to 300.17, 414.12 and 211.78 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.17 : 414.12 = 211.78 : x
  2. Step 2: Convert to fraction form
    300.17/414.12 = 211.78/x
  3. Step 3: Cross multiply
    300.17x = 414.12 × 211.78
  4. Step 4: Simplify right side
    300.17x = 87,702.45
  5. Step 5: Solve for x
    x = 87,702.45/300.17
  6. Step 6: Final answer
    x = 292.17

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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.