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Finding the Fourth Proportional to 512.38, 707.09 and 279.52

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Solution

The fourth proportional to 512.38, 707.09 and 279.52 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 707.09 = 279.52 : x
  2. Step 2: Convert to fraction form
    512.38/707.09 = 279.52/x
  3. Step 3: Cross multiply
    512.38x = 707.09 × 279.52
  4. Step 4: Simplify right side
    512.38x = 197,645.80
  5. Step 5: Solve for x
    x = 197,645.80/512.38
  6. Step 6: Final answer
    x = 385.74

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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.