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Finding the Fourth Proportional to 300.89, 415.31 and 207.47

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Solution

The fourth proportional to 300.89, 415.31 and 207.47 is: 286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.89 : 415.31 = 207.47 : x
  2. Step 2: Convert to fraction form
    300.89/415.31 = 207.47/x
  3. Step 3: Cross multiply
    300.89x = 415.31 × 207.47
  4. Step 4: Simplify right side
    300.89x = 86,161.25
  5. Step 5: Solve for x
    x = 86,161.25/300.89
  6. Step 6: Final answer
    x = 286.36

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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.