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Finding the Fourth Proportional to 300.96, 415.51 and 207.67

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Solution

The fourth proportional to 300.96, 415.51 and 207.67 is: 286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 415.51 = 207.67 : x
  2. Step 2: Convert to fraction form
    300.96/415.51 = 207.67/x
  3. Step 3: Cross multiply
    300.96x = 415.51 × 207.67
  4. Step 4: Simplify right side
    300.96x = 86,288.96
  5. Step 5: Solve for x
    x = 86,288.96/300.96
  6. Step 6: Final answer
    x = 286.71

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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.