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Finding the Fourth Proportional to 301.31, 415.64 and 207.89

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Solution

The fourth proportional to 301.31, 415.64 and 207.89 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 415.64 = 207.89 : x
  2. Step 2: Convert to fraction form
    301.31/415.64 = 207.89/x
  3. Step 3: Cross multiply
    301.31x = 415.64 × 207.89
  4. Step 4: Simplify right side
    301.31x = 86,407.40
  5. Step 5: Solve for x
    x = 86,407.40/301.31
  6. Step 6: Final answer
    x = 286.78

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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.