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Finding the Fourth Proportional to 300.72, 415.08 and 213.40

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Solution

The fourth proportional to 300.72, 415.08 and 213.40 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 415.08 = 213.40 : x
  2. Step 2: Convert to fraction form
    300.72/415.08 = 213.40/x
  3. Step 3: Cross multiply
    300.72x = 415.08 × 213.40
  4. Step 4: Simplify right side
    300.72x = 88,578.07
  5. Step 5: Solve for x
    x = 88,578.07/300.72
  6. Step 6: Final answer
    x = 294.55

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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.