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Finding the Fourth Proportional to 300.86, 415.20 and 213.56

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Solution

The fourth proportional to 300.86, 415.20 and 213.56 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 415.20 = 213.56 : x
  2. Step 2: Convert to fraction form
    300.86/415.20 = 213.56/x
  3. Step 3: Cross multiply
    300.86x = 415.20 × 213.56
  4. Step 4: Simplify right side
    300.86x = 88,670.11
  5. Step 5: Solve for x
    x = 88,670.11/300.86
  6. Step 6: Final answer
    x = 294.72

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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.