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Finding the Fourth Proportional to 510, 764.75 and 163.25

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Solution

The fourth proportional to 510, 764.75 and 163.25 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 764.75 = 163.25 : x
  2. Step 2: Convert to fraction form
    510/764.75 = 163.25/x
  3. Step 3: Cross multiply
    510x = 764.75 × 163.25
  4. Step 4: Simplify right side
    510x = 124,841.61
  5. Step 5: Solve for x
    x = 124,841.61/510
  6. Step 6: Final answer
    x = 244.79

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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.