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Finding the Fourth Proportional to 609.38, 914.43 and 257.96

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Solution

The fourth proportional to 609.38, 914.43 and 257.96 is: 387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 914.43 = 257.96 : x
  2. Step 2: Convert to fraction form
    609.38/914.43 = 257.96/x
  3. Step 3: Cross multiply
    609.38x = 914.43 × 257.96
  4. Step 4: Simplify right side
    609.38x = 235,886.36
  5. Step 5: Solve for x
    x = 235,886.36/609.38
  6. Step 6: Final answer
    x = 387.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.