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Finding the Fourth Proportional to 510.33, 765.77 and 267.33

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Solution

The fourth proportional to 510.33, 765.77 and 267.33 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 765.77 = 267.33 : x
  2. Step 2: Convert to fraction form
    510.33/765.77 = 267.33/x
  3. Step 3: Cross multiply
    510.33x = 765.77 × 267.33
  4. Step 4: Simplify right side
    510.33x = 204,711.96
  5. Step 5: Solve for x
    x = 204,711.96/510.33
  6. Step 6: Final answer
    x = 401.14

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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.