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Finding the Fourth Proportional to 300.88, 414.30 and 213.40

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Solution

The fourth proportional to 300.88, 414.30 and 213.40 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 414.30 = 213.40 : x
  2. Step 2: Convert to fraction form
    300.88/414.30 = 213.40/x
  3. Step 3: Cross multiply
    300.88x = 414.30 × 213.40
  4. Step 4: Simplify right side
    300.88x = 88,411.62
  5. Step 5: Solve for x
    x = 88,411.62/300.88
  6. Step 6: Final answer
    x = 293.84

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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.