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Finding the Fourth Proportional to 510.09, 764.91 and 217.58

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Solution

The fourth proportional to 510.09, 764.91 and 217.58 is: 326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 764.91 = 217.58 : x
  2. Step 2: Convert to fraction form
    510.09/764.91 = 217.58/x
  3. Step 3: Cross multiply
    510.09x = 764.91 × 217.58
  4. Step 4: Simplify right side
    510.09x = 166,425.29
  5. Step 5: Solve for x
    x = 166,425.29/510.09
  6. Step 6: Final answer
    x = 326.27

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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.