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Finding the Fourth Proportional to 300.56, 414.66 and 212.17

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Solution

The fourth proportional to 300.56, 414.66 and 212.17 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 414.66 = 212.17 : x
  2. Step 2: Convert to fraction form
    300.56/414.66 = 212.17/x
  3. Step 3: Cross multiply
    300.56x = 414.66 × 212.17
  4. Step 4: Simplify right side
    300.56x = 87,977.46
  5. Step 5: Solve for x
    x = 87,977.46/300.56
  6. Step 6: Final answer
    x = 292.71

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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.