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Finding the Fourth Proportional to 300.86, 414.96 and 207.63

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Solution

The fourth proportional to 300.86, 414.96 and 207.63 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 414.96 = 207.63 : x
  2. Step 2: Convert to fraction form
    300.86/414.96 = 207.63/x
  3. Step 3: Cross multiply
    300.86x = 414.96 × 207.63
  4. Step 4: Simplify right side
    300.86x = 86,158.14
  5. Step 5: Solve for x
    x = 86,158.14/300.86
  6. Step 6: Final answer
    x = 286.37

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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.