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Finding the Fourth Proportional to 510.78, 765.97 and 218.09

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Solution

The fourth proportional to 510.78, 765.97 and 218.09 is: 327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 765.97 = 218.09 : x
  2. Step 2: Convert to fraction form
    510.78/765.97 = 218.09/x
  3. Step 3: Cross multiply
    510.78x = 765.97 × 218.09
  4. Step 4: Simplify right side
    510.78x = 167,049.31
  5. Step 5: Solve for x
    x = 167,049.31/510.78
  6. Step 6: Final answer
    x = 327.05

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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.