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Finding the Fourth Proportional to 300.71, 414.85 and 212.32

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Solution

The fourth proportional to 300.71, 414.85 and 212.32 is: 292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 414.85 = 212.32 : x
  2. Step 2: Convert to fraction form
    300.71/414.85 = 212.32/x
  3. Step 3: Cross multiply
    300.71x = 414.85 × 212.32
  4. Step 4: Simplify right side
    300.71x = 88,078.85
  5. Step 5: Solve for x
    x = 88,078.85/300.71
  6. Step 6: Final answer
    x = 292.90

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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.