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Finding the Fourth Proportional to 510.55, 765.78 and 163.79

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Solution

The fourth proportional to 510.55, 765.78 and 163.79 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.55 : 765.78 = 163.79 : x
  2. Step 2: Convert to fraction form
    510.55/765.78 = 163.79/x
  3. Step 3: Cross multiply
    510.55x = 765.78 × 163.79
  4. Step 4: Simplify right side
    510.55x = 125,422.46
  5. Step 5: Solve for x
    x = 125,422.46/510.55
  6. Step 6: Final answer
    x = 245.66

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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.